Applying Functions in Real World Situations

Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write a function rule that relates the total cost of the party to the number of children n.

• f(n) = 4 + 55n

• f(n) = 4 - 55n

• f(n) = 4n - 55

• f(n) = 55 + 4n

A flower deliveryman receives $40 a day for transportation costs plus $10 for each flower delivery he makes. How many dollars (d) will he have after making x flower deliveries

• d = 10x + 40

• d = x + 10 + 40

• d = 40x + 10

• d = 10x - 40

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?

• T = 80 + 9y

• T = 80y + 9

• T = 80 + 9 + y

• T = (80+9)y

Function W gives the volume of water in a tub t minutes since it began filling up. The volume is measured in liters. What does W(3) = 2 mean in this situation?

The speed of a baseball, measured in mph, is a function of the time since it has been hit by a bat, measured in seconds. What does f(4) = 65 represent in the situation?

• The ball is traveling 65 mph, 4 seconds after it was hit.

• The ball is traveling 4 mph, 65 seconds after it was hit.

• Not enough information

• The ball traveled 65 mph for the last 4 seconds.

Pick a function that best models the following situation:  A babysitter getting paid hourly.

• Exponential

• Linear

• Quadratic

• Neither

The deli in the grocery store gives each customer a free cup of coffee worth $1.50.  Write a function to represent the situation.

• y = 1.5x

• y = 15x

• x = 1.5y

• x = 15y

The height, h, of an object decreases by 7 feet every second. If the object is initially set at 100 feet, which equation represents its height after s seconds?

• h = 7 - 100s

• h = 100s - 7

• h = 100 - 7s

• h = 100 + 7s