Question

A skateboard company charges a rental fee plus $8 per hour the cost for a 5-hour rental is $62 identify the initial value and constant rate of change and write the equation in slope intercept form.

Answer 1

Let the initial value is b

Since the cost per hour is $8

Since the number of hours is 5 hours

Since the cost of the 5 hours is $62

Then

`b+5(8)=62`
`x+40=62`

Subtract 40 from both sides to find x

`\begin{gathered} b+40-40=62-40 \\ b=22 \end{gathered}`

The initial value is $22

The slope-intercept form of the equation is

`y=mx+b`

Where m is the rate of change (8) and b is the initial value (22)

`y=8x+22`