Question

The table below represents the velocity of a car as a function of time:

Time Velocity
(hour) (miles/hours)
x y
0 50
1 52
2 54
3 56

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 hours, and tell what the average rate represents.

Part C: What would be the domain of the function if the velocity of the car was measured until it reached 60 miles/hour and the car does not change motion?

Answer 1

Part A: The y-intercept = 50
The reason for this is that the car starts at speed of 50.

Part B: average rate of change = f(b) - f(a)/b - a
Then you plug in and solve. So, 56-52/3-1 = 4/2 = 2
So, the rate of change would be 2 miles per hour.

Part C: The domain would be 5. The range would be 60.

I hope this helps!