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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?

Respuesta :

Answer:

[tex] 240 =5x +115[/tex]

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:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

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

[tex] x= 25[/tex]

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

Step-by-step explanation:

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

[tex] y = mx+b[/tex]

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:

[tex] 240 =5x +115[/tex]

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:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

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

[tex] x= 25[/tex]

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