Interpreting and Applying Linear Functions

The table represents a function of x.

Which equation describes the function?

• y = x-12

• y = 2x+5

• y = 4x-9

• y = -4x+13

Aki wants to buy a music player that costs $234 using only the money he earned from mowing lawns. The table below shows the amount of money Aki earned as a function of the number of lawns he mowed.

Based on the function shown in the table, what is the least number of lawns Aki will have to mow to buy the music player.

• 22

• 29

• 30

• 31

The table shown below represents a linear function.

Which equation describes the linear function shown in the table?

• y = 8.5x-600

• y = 8.5x+600

• y = -8.5x -600

• y = -8.5x+600

Peter makes banners. He charges a fixed amount to create the banner's design. He then charges an additional amount of each banner a customer orders. He uses the equation y = 44.95 + 39.95 to find the total amount (y) in dollars he will charge a customer who orders (x) banners. Which statement about how Peter charges his customers must be true?

• Peter charges $44.95 to create the banner's design

• Peter charges $39.95 for each banner a customer orders

• the differentce in the total amount charged between an order of 3 banners and 4 banners is $39.95

• The difference in the total amount charged between an order of 3 banners and 4 banners is $44.95

Camila was filling a barrel with sand. She poured the new sand through a funnel and into the barrel at a constant rate. The barrel already had some sand in it. she used the graph below to mark the total volume in cubic feet at different times after she began filling the barrel.

Which equation represents the volume (y), in cubic feet, of sand x minutes after Camila started filling the barrel?

• y = (1/2)x + 5

• y = (1/2)x+6

• y = 2x + 5

• y = 2x+6

Kevin delivers groceries to people's homes. He charges af ixed rate per mile and also a fixed delivery fee. When Kevin makes a 10 mile trip to deliver groceries, he charges $11. When he makes a 5 mile trip, he charges $8.25.

Which equation could be used to determine the amount of money (y) in dollars Kevin will charge when he makes a trip of x miles to deliver groceries?

• y = 0.55x + 5.5

• y = 0.8x + 3

• y = x + 1

• y = 2x - 1.75

A linear function is represented by the equation y = 12x + 8. What is the difference between the y-values of the function at two consecutive integer x-values?

• 8

• 12

• 16

• 24