Question

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


Time
(hours)
x Distance
(miles)
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? (4 points)

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. (4 points)

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

Answer 1

First: let's assume that the relationship between x and y is linear. Then take any two points from the table,

for example:

1 850
2 800

and calculate the slope, using the slope formula.

If youi've forgotten that, please see:

Answer 2

850 - 800
m = —————
1 - 1

Answer 3

the y-intercept is b = 900, or, as a point, is (0,900).

Answer 4

@Ryuga