Question

The table below represents the distance of a car from its destination as a function of time:

Time Distance

(hours) (miles)
x y
0 900
1 850
2 800
3 750
Part A: What is the y-intercept of the function, and what does this tell you about the car?

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination?

Answer 1

A: The car started 900 miles away from its destination. Y intercept = 90

B: The average rate of change would be 50, meaning the car travels 50 miles every hour.

C: The domain of the function would be 0-18 since the car reaches its destination after 18 hours.

You're Welcome :)

Answer 2

A: The car started 900 miles away from its destination. Y intercept = 900

B: The average rate of change would be 50, meaning the car travels 50 miles every hour.

C: The domain of the function would be 0-18 since the car reaches its destination after 18 hours.