Question

The table below represents the distance of a car from its destination as a function of Time(hours) is x
Distance(miles) is y

|y | | x|
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

time in hours is x you have x and y switched in your table

the y intercept remember is when x = 0 what is y from the table??

forB)
remember how to find the slope that is average rate of change y/x or
y2-y1/x2-x1

so from our table from 1 and 3

750-850/3-1 = ??? = av rate of change and our slope

C) y=mx+b

when y = 0 x will be
plug in your y intercept for b from part a
plug in your slope m from part b
y=0 and solve for x that is your domain at destination