Question

Hello am trying to make sure I did this right

Answer 1

A.

The rate of change is given as:

`m=(y_2-y_1)/(x_2-x_1)`

using the origin (0,0) and the point (4,60) on the graph we have:

`m=(60-0)/(4-0)=(60)/(4)=15`

Therefore the rate of change is 15.

B.

The equation of a line is given by:

`y=mx+b`

where m is the rate of change and b is the y-intercept. In this case we know that the rate of change is 15 and we also know that she started her dide 120 km from the ending point. From the graph this means that the y intercept is zero, then the equation is:

`y=15x`