Studio fee:$8 per hour
Vase:$10

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.