Interpreting Linear Functions Story

A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground and the number of steps.

What is the rate of change of height off the ground with respect to the number of steps?

• 14 in. per step

• 1/7 in. per step

• 7 in. per step

• 1/14 in. per step

During which time interval was Xavier riding his scooter at the greatest speed?

• between minute 1and minute 2 of the ride

• between minutes 2 and minute 4 of the ride

• between minute 4 and minute 5 of the ride

• between minutes 5 and minute 8 of the ride

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes. What is the range of the function for this situation?

• All real numbers greater than or equal to 0 and less than or equal to 9

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers less than or equal to 28

• All real numbers less than or equal to 9

The table shows a relationship between x and y. What is the y-intercept in this relationship? ____

*Remember your y -intercept is the y-coordinate when your x is zero.

• -1

• 7

• -7

• 2

The graph represents the height of a paper airplane falling.

What is occurring at the point (8,0)?

• The paper plane is 8 feet in the air to start

•  The paper plane is 0 feet in the air after 8 seconds

•  The paper plane has just been thrown

A research group tracked the time it took 3 companies to get their first 120 customers. The graph shows the results for Red company, blue company, and green company. The domain for green company is:

• 0 < x < 15

• 0 < x < 60

• 0 < x < 80

• 0 < x < 120

The table shows the linear relationship between the height in feet of a pecan tree and the number of years since the tree was planted.

What is the rate of change of the height in feet of the pecan tree with respect to the number of years since the tree was planted?

• 3 ft/yr

• 6 ft/yr

• 4 ft/yr

• 9 ft/yr

Tags

A.3B

What is happening in the graph between 30 and 40 minutes?

• Sarah is accelerating

• Sarah is not moving

• Sarah is slowing down

• Sarah is travelling at a constant speed

Given the graph of f(x), what does f(6) = 30 mean in context?

• When 6 books are sold, the store makes $30

• When 30 books are sold, the store makes $6

• When 6 books are sold, the store makes $36

• The store makes $5 per book.

The cost for renting a car is related to the number of miles it is driven. Based on the given graph, what would the cost of renting a car be if the person drove it 180 miles?

• $35

• $40

• $45

• $50