Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini tial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
2 answers:
Answer:
b
Step-by-step explanation:
The price for each instructor will be the same at 3 hours. How I determined this answer: First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it: Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour) Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour) Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that: I created a graph that looked like this: Hours: 1 2 3 Ieda: 19.50 30.50 41.50 Thanh: 20.50 31.00 41.50 Here's how I figured out the price for each hour: Ieda: Hour 1 (including initial price): $11.00 + $8.50 = $19.50 Hour 2 (excluding initial price): Only add the hourly price after Hour 1! $19.50 + $11.00 = $30.50 Hour 3 (excluding initial price): $30.50 + $11.00 = $41.50 Thanh: Hour 1 (including initial price): $10.50 + $10.00 = $20.50 Hour 2 (excluding initial price): $20.50 + $10.50 = $31.00 Hour 3 (excluding initial price): $31.00 + $10.50 = $41.50 So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50) I hope I was able to help you! :)
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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