Respuesta :

Answer:

4.5 hours

Step-by-step explanation:

So, let's write a function p(x) which represents the total cost.

Let's let x represent the amount of hours.

The cost of a piece is a constant 10.

And there is a $8 fee per hour. In other words:

[tex]p(x)=8x+10[/tex]

We spent a total of $46.

So, substitute in 46 for p(x) and solve for x:

[tex]46=8x+10[/tex]

Subtract 10 from both sides:

[tex]36=8x[/tex]

Divide both sides by 8:

[tex]x=36/8[/tex]

Reduce:

[tex]x=4.5[/tex]

So, we spent about 4.5 hours.

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