Question

Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?

Answer 1

`240 =5x +115`

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

`240-115= 5x`

`125 = 5x`

And now we can divide both sides by 5 and we got:

`x= 25`

So then the number of hours spent to decorate the house are 25

Explanation:

Based on the information given we can model this function with this formula:

`y = mx+b`

Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:

`240 =5x +115`

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

`240-115= 5x`

`125 = 5x`

And now we can divide both sides by 5 and we got:

`x= 25`

So then the number of hours spent to decorate the house are 25