### Salaries - bcarroll01

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“Never confuse the size of your paycheck with
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1)
2)
3)
4)
Annual Salary
Set Salary
No overtime
Benefits
Vacation
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1)
2)
3)
4)
Hourly Pay
Salary changes every
week
Overtime pay
Benefits for full time
No vacation
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Carpenter - \$52,880
Garbage Man - \$37,100
High School Teacher - \$61,470
Financial Analyst - \$93,760
Police Officer - \$55,580
Fire Fighter - \$48,140
Dentist - \$169,340
Pediatrician - \$159,390
Massachusetts Department of Labor website
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Weekly
◦ 52 Paychecks → Annual Salary ÷ 52
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Bi-Weekly
◦ 26 Paychecks → Annual Salary ÷ 26
Semi-Monthly
◦ 24 Paychecks → Annual Salary ÷ 24
 Monthly
◦ 12 Paychecks → Annual Salary ÷ 12
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Christina is paid biweekly. Her annual salary is
\$37,000. What is her biweekly salary, rounded
to the nearest cent?
→ Biweekly = 26 paychecks
Biweekly Salary = annual salary ÷ # of paychecks
= \$37,000 ÷ 26
= 1423.0769
= \$1,423.08
Mr. Varello is paid semimonthly. His annual
salary is \$64,333. What is his semimonthly
salary, rounded to the nearest cent?
→ Semimonthly = 24 paychecks
Salary = annual salary ÷ # of paychecks
= \$64,333 ÷ 24
= 2680.5416
= \$2,680.54
Manny is paid semimonthly. His semimonthly
salary is \$1,239. What is his annual salary?
How many paychecks does Manny get?
→ 24 paychecks
How much is each paycheck for?
→ \$1,239
How much does Manny receive per year?
→24 paychecks x \$1,239
= \$29,736
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on page 300 of the textbook. Show all work.
Sarah has been offered a new job as an
assistant manager in a shoe department. She
will work 54 hours each week and earn \$15 an
hour. For this work schedule and rate of pay,
is it possible for Sarah’s gross pay for one
month to be at least \$3,650?

Typical work week is 40 hours
◦ Workers receive regular pay for up to 40 hours per
week
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To calculate pay for regular hours:
◦ Wage = (hourly rate) x (number of hours worked)
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Maureen works at a local Chicken King
Restaurant. Her regular hourly wage is
\$9.70. If she regularly works 40 hours per
week, what is her regular weekly pay?
Weekly Pay= (hourly rate) x (number of hours)
= (9.70) x (40)
= 388
Maureen makes \$388 per week
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Mark Willow works as a customer service
representative and is paid \$9.10 per hour.
He worked 38 hours lat week. What was his
gross pay?
Gross pay = (hourly rate) x (number of hours)
= (9.10) x (38)
= 345.8
Mark earned \$345.80 last week
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Hours worked in a week greater than 40
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Usually pays 1.5 times hourly rate
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“Time and a half”
How many hours of overtime for:
◦ 45 hours?
◦ 54 hours?
◦ 38 hours?
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Janice earns \$10 per hour. If her regular
hours are 40 hours per week, and she
total pay for a week in which she works 45
hours.
Total Pay = Regular Pay + Overtime Pay
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Regular Pay
(Reg. Hrs) x (Hrly Rate)
(40 hours) x (\$10)
= \$400
Reg Pay = \$400
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Overtime Pay
(OT hrs)x(hrly rate)x(1.5)
(5 hrs) (\$10) (1.5)
= \$75
OT Pay = \$75
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Janice earns \$10 per hour. If her regular
hours are 40 hours per week, and she
total pay for a week in which she works 45
hours.
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Total Pay = Regular Pay + Overtime Pay
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Total Pay = \$400 + \$75
= \$475
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Kenny Walker works as a shopping mall
security guard and is paid \$7.50 an hour. He
is paid time-and-a-half for all hours over 40.
Find his gross pay when he works 46 hours a
week.
Gross Pay = Reg. Pay + OT Pay
= \$300 + \$67.50
= \$367.50
Sarah has been offered a new job as an
assistant manager in a shoe department. She
will work 54 hours each week and earn \$15 an
hour. For this work schedule and rate of pay,
is it possible for Sarah’s gross pay for one
month to be at least \$3,650?
Yes, gross pay would be:\$3,660
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Page 301, numbers 12-21
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For double time, multiply by 2 instead of 1.5
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2) Yoko is paid semimonthly. How many
fewer paychecks does she receive in a year
compared to someone who is paid weekly?
28 paychecks
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3) Sean is paid biweekly. His annual salary is
\$42,500. What is his biweekly salary to the
nearest cent?
\$1,634.62
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4) Cynthia’s semimonthly salary is \$1,371.50.
What is her annual salary?
\$32,916
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5) Baseball player Alex Rodriguez earned
\$27,708,525 in 2007. He played in 158
games. What was his salary per game to the
nearest thousand dollars?
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\$175,370.41
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\$175,000
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6) Ceil gets paid biweekly. Her biweekly
salary is \$1,763.28. What is her annual
salary?
\$45,845.28
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7) John’s weekly salary is \$478.25. His
employer is changing the pay period to
semimonthly.
What is John’s annual salary?
 \$24,869
What will John’s semimonthly salary be?
 \$1,036.21
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8) Ralph earns \$72,000 annually and is paid
semimonthly. Alice also earns \$72,000 but is
paid biweekly.
How many more paychecks does Alice get?
 2 paychecks
What is the difference between Ralph and
Alice’s paycheck?
 \$230.77
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9) Beth’s annual salary was \$38,350. This year
she received \$46,462. Beth is paid biweekly.
What was her biweekly salary last year?
 \$1,475
What is Beth’s biweekly salary this year?
 \$1,787
How much more does Beth receive?
 \$312
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10) Justin is a golf pro. He works eight
months per year, and is paid \$76,000.
During the winter months, he teaches golf
privately and earns another \$12,500. What is
his average salary based on his yearly
earnings?
\$7,375
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12) Hector works in a gas station and earns
\$8.60 per hour. Last week he worked 29
hours. What was his gross pay?
\$249.40
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13) Eddie works at a Beep-N-Kleen car wash.
He earns \$8.40 per hour. Last week he
worked x hours. What was his gross pay?
\$8.40x
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14) Lynn makes \$9 an hour. Last week she
worked 43 hours.
What was her regular gross pay?
 \$360.00
What was her overtime pay?
 \$40.50
What was her total pay?
 \$400.50
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15) Amy works 20 per week. She earns \$8.10
per hour and receives double-time for
working on Sundays. Next week, she will
work 20 regular hours and 8 hours on
Sunday. What will her total pay be?
\$291.60
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16) Tom earns \$12.50 per hour. He regularly
works 40 hours a week and receives timeand-a-half for overtime. Last week he
worked 42 hours. How much did he make?
\$537.50
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17) Pedro works 35 regular hours per week.
He earns \$9.20 per hour and time-and-ahalf for overtime. Last week he worked 41
hours and received a gross pay of \$305.80,
which was incorrect. How much is he owed?
\$99.00
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18) Colby and Cheryl work in different
supermarkets. Colby earns \$8.90 an hour
and is paid time-and-a-half for overtime.
Cheryl earns \$7.10 an hour and is paid
double time. Who earns more for one hour of
overtime?
Cheryl by 85 cents
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19) Ron earns x dollars per hour. He works
40 hours per week. What is his annual salary?
52 (40x)
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20) Michael earns \$10 an hour. He works 40
hours per week. How many overtime hours
would he need to work for his overtime pay
to be greater than he regular pay?
27 hours
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21) Jim worked 40 hours last week plus 8
overtime hours. His gross pay was \$1,248.
What was his hourly rate?
 \$24
What was his overtime hourly rate?
 \$36
and Salaries
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Equations involving 1 or more variables
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Can use any letter to represent a variable
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Similar to what we have been doing.
Christina is paid biweekly. Her annual salary is
\$37,000. What is her biweekly salary, rounded to
the nearest cent?
Biweekly Salary =
annual salary
# of paychecks
Annual Salary = \$37,000
# of Paychecks = 26

\$37,000
26
 \$1,423.08
Christina is paid biweekly. Her annual salary is
\$Y. What is her biweekly salary, rounded to the
nearest cent?
Biweekly Salary =
annual salary
# of paychecks
Annual Salary = \$Y
# of Paychecks = 26
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\$Y
26

Y
26
Manny is paid semimonthly. His semimonthly salary
is \$1,239. What is his annual salary?
Annual Salary = (salary )(# of paychecks)
= (\$1,239) (24) = \$29,736
Semimonthly salary = \$1,239
# of Paychecks = 24
Carlos earns x dollars biweekly. Express his annual
salary algebraically.
Annual Salary = (Biweekly salary )(# of paychecks)
= (\$x) (26) = 26x
Biweekly salary = \$x
# of Paychecks = 26
Alex is paid semimonthly. His annual salary is y
dollars. Express his semimonthly salary
algebraically.
Annual Salary = \$Y What
does this
Alex makes
\$Y mean?
per year
Paid Semimonthly
Alex gets
paychecks
What
does24
this
mean?
Semimonthly Salary =
y
24
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47
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Maureen works at a local Chicken King
Restaurant. Her regular hourly wage is
\$9.70. If she regularly works 40 hours per
week, what is her regular weekly pay?
Weekly Pay= (hourly rate) x (number of hours)
= (9.70) x (40)
= 388
Maureen makes \$388 per week
Roger regularly works h hours per week at a rate
of d dollars per hour. Express his annual salary
algebraically.
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Weekly Pay= (hourly rate) x (number of hours)
= (\$d) (h hours)
= d • h dollars per week
Annual Salary = (weekly salary) (52)
= 52dh
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Janice earns \$10 per hour. If her regular
hours are 40 hours per week, and she
total pay for a week in which she works 45
hours.

Total Pay = Regular Pay + Overtime Pay

Total Pay = (40)(\$10) + (5)(\$10)(1.5)
= \$475
Ron regularly works 40 hours per week, at a rate of x
dollars per hour. Last week he worked y overtime hours at
time-and-a-half. Express his total weekly salary
algebraically.

Total Pay = Regular Pay + Overtime Pay
Total Pay = (reg hrs)(hrly rate) + (ot hrs)(hrly rate)(1.5)
= 40x + (y)(\$10)(1.5)
= 40x + 15y
Like Terms
Samantha worked her 40 regular hours
last week, plus 7 overtime hours at the
time-and-a-half rate. Her gross pay was
\$611.05. What was her hourly rate?
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52
Jillian worked her 40 regular hours last
week, plus 2 overtime hours at a
double-time rate. Her gross pay was
\$484. What was her hourly rate?
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53
Last week, Saul worked r regular hours
and t overtime hours at a time and-a-half
rate. He earned \$700. If x represents his
hourly rate, express x in terms of r and h.
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54
Jonathan worked h hours at an
hourly rate of r dollars. He also
worked w hours at an overtime rate
of double time. Express his total pay
for the week algebraically.
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Jovanna gets paid a regular-pay rate of
r dollars for 40 hours worked. She is
paid at a time-and-a-half rate for up to
16 overtime hours worked and a
double-time rate for any overtime
hours worked greater than 16 hours.
Write a piecewise function, p(z), for
Jovanna’s pay when she works z hours.
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