### Warm Up Oct. 13th

```QUIZ DAY!!

 Make sure your name is on it!
 Then clear your desk except a pencil.
 NO Calculator!
 When finished with the quiz, please turn it
in on the cart and pick up notes for today.
Homework Check
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12
3 and -3
-9/17
4 and -4
-4/11
9/4
-2
18
5
7
-9
Rational Functions
Applications
Intro to Rational Applications…

A class party costs Mr. Smith’s class \$100.
 a) If there are 4 students splitting the cost, how much does
each pay?

b) If there are 10 students splitting the cost, how much does
each pay?

c) What function/equation represents the cost per student
for x students.
Example 1
Your school is renting an indoor water park for a
school outing. The water park costs \$1500 for the
day.
a) How many students need to go to the water park so
that each person pays \$7 each?
b)
The water park can hold up to 450 people. Does the
park hold enough students so that each person pays
only \$3 each? Explain.
Example 2
You are planning a school field trip to a local theater. It
costs \$60 to rent the bus. Each theater ticket costs \$5.50.
a) Write a function c(x) to represent the cost per student
b)
How many students must sign up if the cost is to be no
more than \$10 per student.
Example 3
Miguel can complete the decorations for a school
dance in 5 days working alone. Nasim can do it
alone in 3 days, and Denise can do it alone in 4 days.
How long would it take the three students working
together to decorate?
Example 4
You can paint a fence twice as fast as your sister can.
Working together, the two of you can paint a fence in 6
hours. How many hours would it take each of you
working alone?
Example 5
A car travels 500 miles in the same time that a train
travels 300 miles. The speed of the car is 30 miles per
hour faster than the speed of the train. Find the speed of
the car and the train.
Example 6
You can travel 40 miles on your motorbike in the same
time it takes your friend to travel 15 miles on his
bicycle. If your friend rides his bike 20 mi/h slower than
you ride your motorbike, find the speed for each bike.
Practice
1.
A passenger train travels 392 miles in the same time that it
takes a freight train to travel 322 miles. If the passenger train
travels 20 mi/h faster than the freight train, find the speed of
each train.
2.
A church is going on a ski trip. The bus rental is \$185 and the
cost for ski rentals is \$15 per person. How many people would
need to go so that each person pays no more than \$20?
3.
A large snowplow can clear a parking lot in 4 hours. A small
snowplow needs 12 hours to clear the lot. Working together,
how long would it take to clear the lot?
```