Question

You want to create a piece of

Answer 1

The total costs of the studios are the same after 4 hours

How to determine the number of hours?

The complete question is added as an attachment

From the question, we have:'

Cost of studio

Studio A = $10

Studio B = $16

Hourly rate

Studio A = $8

Studio B = $6.5

The total cost is then calculated as:

Total cost = Cost of studio + Hourly rate * Number of hours

So, we have:

y = 10 + 8x

y = 16 + 6.5x

Equate both equations

10 + 8x = 16 + 6.5x

Evaluate the like terms

1.5x = 6

Divide by 1.5

x = 4

Hence, the total costs of the studios are the same after 4 hours

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Answer 2

After six and half hours for studio A and after eight hours for studio B, the total costs of both studios will be the same.

What is Rate ?

Rate is a measure or quantity measured against another quantity or measure which is the ratio between two related quantities in different units

It is given that 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.

• Studio A: $8 per hour.

• Studio B: $6.50 per hour.

Multiply both together. That is,

8 x 6.5 = $52

The two cost will be the same at $52. By that time,

Studio A will be six and half hours.

Studio B will be eight hours.

Therefore, after six and half hours for studio A and after eight hours for studio B, the total costs of both studios will be the same.

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