Representing Linear Situations

Bob started with $150 in his savings account then began saving $40 per month. What equation describes this situation?

• y=40x+150

• y=150x+40

• x=150y+40

• x=40y+150

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. What equation best describes this situation?

• y= -12x+250

• y= -250x+12

• y= -12x-250

• y= -250x-12

Bob started with $150 in his savings account then began saving $40 per month. What is the y-intercept of this situation?

• $150

• $40

• $190

• $110

Bob started with $150 in his savings account then began saving $40 per month. What is the rate of change(slope) of this situation?

• $150

• $40

• 150/40

• 40/150

A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.

• C(m) = 2m + 3

• C(m) = 3m + 2

• C(m) = 4m + 1

• C(m) = 5m + 2

The diagram shows a linear function of g. What is the value of k.

• 5

• 4

• 7

• 8

Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which function describes the situation?

• y=5x+2

• y=2x-5

• y=5x-2

• y=2x+5

A pond in Luke's neighborhood has a depth of 81.6 inches. During the dry season, the pond loses an average of 0.02 inches of water each day. Luke wrote the function below to represent the depth of the pond in inches x days after the dry season begins. Explain Luke's error and rewrite the function correctly.

• f(x) = -0.02(x + 81.6)

• f(x) = -0.02x + 81.6

• f(x) = -0.02x - 81.6

• f(x) = -0.02(x - 81.6)

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. What is the y-intercept for this situation?

• (0,15)

• (0,2)

• (0,17)

• (0,13)

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. What is the rate of change(slope) for this situation?

• 15/1

• 2/1

• 15/2

• 2/15