Function Equations and Real World Graphs

Gracie's service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. Which best represents the domain?

• x ≤ 3000

• x ≥ 1000

• 0 ≤ x ≤ 1000

• x ≥ 0
• x ≤ 7
• 0 ≤ x ≤ 7
• { 0,1, 2, 3, 4, 5, 6, 7 }

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. This is represented by the following equation, y = 25x. What is a reasonable domain?

• 0 ≤ x ≤ 350

• 0 ≤ y ≤ 14

• 0 ≤ y ≤ 350

• 0 ≤ x ≤ 14

What is the domain?

• x = 2

• All Real Numbers

• y = 2

• none of these

The height of a toy rocket over time is shown on the graph. What is the range of the function?

• 0 ≤ h ≤ 3

• 0 ≤ h ≤ 36

• h < 3

• t ≤ 36

• F
• G
• H
• J

The total cost of renting a banquet hall is a function of the number of hours the hall is needed. The owner of the banquet hall charges $85 per hour up to a maximum of 4 hours plus a $50 cleaning fee which is represented by the function y = 85x + 50. What is the greatest value in the range for this situation?

• 85

• 50

• 4

• 390

A fundraising organization will donate $250 plus half of the money it raises from a charity event represented by the function y = 250 + 1/2x.

What is the independent variable?

• The money raised

• The amount that will be donated

• $250

A fundraising organization will donate $250 plus half of the money it raises from a charity event represented by the function y = 250 + 1/2x.

What is the dependent variable?

• The money raised

• The amount that will be donated

• $250

A fundraising organization will donate $250 plus half of the money it raises from a charity event.

If the domain is the amount of money raised, what is the reasonable domain?

• x > 0, because the amount of money raised has to be greater than or equal to 0.

• x<0 because the amount of money raised can be negative

• 0 because they will not raise any money

• $250