Question

You want to create a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. The costs at two studios are shown.
The cost in studio A is, Vase: 10 dollars and 49 cents; Studio fee: 8 dollars per hour. Cost in studio B is, Vase: 14 dollars and 99 cents; Studio fee: 6 dollars and 50 cents per hour.

a. After how many hours are the total costs the same at both studios?

Answer 1

for 3 hours, both studios charge the same amount.

After how many hours are the total costs the same at both studios?

The cost equation for studio A is:

A(x) = 10.49 + 8*x

The cost equation for studio B is:

A(x) = 14.99 + 6.5*x

The cost will be the same when A(x) = B(x), then we just need to solve the linear equation:

10.49 + 8*x = 14.99 + 6.5*x

8x - 6.5x = 14.99 - 10.49

x = (14.99 - 10.49)/(8 - 6.5) = 3

This means that for 3 hours, both studios charge the same amount.

if you want to learn more about linear equations:

brainly.com/question/1884491

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