Study Session: Linear Equation Applications October 4th, 2012 Brief Overview Name the types of calculations that are measured in square units. Formulas for perimeter and area of rectangles, squares, and triangles: Perimeter A football field is 116 yards long and 54 yards wide. How many yards of painted border are needed to enclose the field? Perimeter Myra’s new TV has a perimeter of 134 inches. Its width is 5 inches less than twice its height. How many inches wide is the TV? Area Carpet sells for $4 per square foot and it will cost James $440 to re-carpet his room. If his room is 10 feet long, how many feet wide is it? Area The triangular sail on Allison’s boat needs to be replaced. Find the amount of fabric needed for a new sail that has a base of 16 meters and a height of 12 meters. Area The American flag as a width of 12 feet and a length of 4 feet less than twice the width. Determine the amount of square feet of fabric required to make the American flag. = A retired couple invested $20,000 in bonds. At the end of the year, they received an interest payment of $650. What was the simple interest rate of the bonds? Creating Expressions Jack, Jill, and Ron share a 2-bedroom apartment. Their monthly rent is represented by R. The water bill is $20 per person; the electric bill is $350 a month. Jill will be picking up the total water bill as well as half of the electric. Ron will be paying the other half of the electric bill as well as his third of the rent. Jack will be paying for Jill’s portion of the rent as well as his own. Create three algebraic expressions for the amount that each person will pay. Percentages To be eligible for a new home mortgage, Joel's monthly mortgage payment should not exceed 25% of his take-home pay. Use the information below to determine whether Joel is eligible for the new home mortgage. Monthly Take-Home Pay: $3572 Mortgage Payment: $875 Percentages In March of 2012, GM reported a 10% increase in number of vehicles sold compared to March of 2011. If the total number of vehicles sold by GM in March of 2012 was 240,515, how many vehicles were sold in March of 2011? Percentages Cho paid $330 for a plane ticket to Arizona. He must also pay a 14% convenience fee for booking with a travel agency. What is the total cost of Cho’s flight to Arizona?