Question

A bike shop rents each of its mountain bikes for a one time $4.00 insurance charge plus $2.50 per hour create an equation that represents the relationship between the total cost , to rent a bike for X hours

Answer 1

`y=2.50x+4.00`

Explanation:

Let

x -----> the number of hours

y ----> the total cost to rent a bike in dollars

we know that

The equation of the line in slope intercept form is equal to

`y=mx+b`

where

m is the slope or the unit rate of the linear equation

b is the y-intercept or the initial value

In this problem we have

The unit rate or slope is equal to

`m=\$2.50\ per\ hour`

The y-intercept (value of y when the value of x is equal to zero) is equal to

`b=\$4.00` ----> (fee charge)

substitute the values

`y=2.50x+4.00`