Question

Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hour plus $30 for supplies. The equations give the total cost for x hours of work for each painter. For how many hours of work are Otis's and Shireen's costs equal? what is the cost for this number of hours?

Y= 45x + 75 - Otis
Y= 55x + 30 - Shireen​

Answer 1

For 4.5 hours of work Otis's and Shireen's costs are equal

The cost for this number of hours is $277.5

Explanation:

Let

x ----> the number of hours

y ----> the total cost

we have

Otis

`y=45x+75` ----> equation A

Shireen

`y=55x+30` -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (4.5,277.5)

see the attached figure

therefore

For 4.5 hours of work Otis's and Shireen's costs are equal

The cost for this number of hours is $277.5