Question

Studio fee:$8 per hour
Vase:$10

Answer 1

4.5 hours

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:

`p(x)=8x+10`

We spent a total of $46.

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

`46=8x+10`

Subtract 10 from both sides:

`36=8x`

Divide both sides by 8:

`x=36/8`

Reduce:

`x=4.5`

So, we spent about 4.5 hours.