Question

Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts she may use. Write and solve a linear equation to find the total cost for her customer if she fixes a bike from 8:30 a.m. to 12:30 p.m

Answer 1

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88