Celeste and dora both offer guitar lessons. celeste charges an initial fee of $5.00, and an hourly rate of $7.25. dora has an initial fee of $10.25, and an hourly rate of $6.50. at how many hours of instruction will the cost for each instructor be the same? which equation represents the scenario?

let number of hours be x

Celeste charges an initial fee of $5.00, and an hourly rate of $7.25.

C =5+7.25x(1)

Dora has an initial fee of $10.25, and an hourly rate of $6.50.

D=10.25+6.50x(2)

if the cost is same, equating equations (1) and (2)

5+7.25x=10.25+6.50x

7.25x-6.50x=10.25-5

0.75x = 5.25

x=7

so 7 hours is the answer

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step-by-step explanation: