Question

HELP ME PLEASE!!!!!!!

Answer 1

Part 1) The rate of change is
`60\ (km)/(h)`

Part 2) The initial value is 100 km

Part 3) His distance increases 60 kilometers every hour

Explanation:

Part 1) Find the rate of change

The rate of change is the same that the slope

Let

x ----> the time in hours

y ---> the distance in kilometers

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have the points

(0,100) and (10,700)

substitute in the formula

`m=(700-100)/(10-0)`

`m=(600)/(10)`

`m=60\ (km)/(h)`

Part 2) Find the initial value

we know that

The initial value or y-intercept is the value of y when the value of x is equal to zero

Looking at the graph

For x=0

The value of the y-coordinate is 100

therefore

The initial value is 100 km

Part 3)

we know that

The slope or unit rate is
`m=60\ (km)/(h)`

That means

His distance increases 60 kilometers every hour