Math Problem Statement

Henry made $289 for 17 hours of work. At the same rate, how much would he make for 8 hours of work?

Solution

To solve this, we can set up a proportion based on Henry's rate of pay.

  1. Henry earned $289 for 17 hours of work, so his hourly rate is:

Hourly rate=28917=17dollars per hour.\text{Hourly rate} = \frac{289}{17} = 17 \, \text{dollars per hour}.

  1. To find out how much he would make for 8 hours of work, multiply his hourly rate by 8:

Amount for 8 hours=17×8=136dollars.\text{Amount for 8 hours} = 17 \times 8 = 136 \, \text{dollars}.

So, Henry would make $136 for 8 hours of work.

Would you like more details on how this was calculated, or do you have any questions?

Here are some related questions for you:

  1. How would you calculate the total earnings if the work hours were 20 instead of 8?
  2. How would Henry's total earnings change if his hourly rate was different?
  3. How can you use the concept of rate to solve similar problems in other contexts?
  4. If Henry worked 40 hours per week, how much would he earn in a month at the same rate?
  5. How would you express Henry's total earnings for a given number of hours as a function of hours worked?

Tip: When dealing with rates, always divide total earnings by the number of hours worked to find the hourly rate before solving for any other time periods.

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Math Problem Analysis

Mathematical Concepts

Proportions
Rate of Pay
Basic Arithmetic

Formulas

Hourly Rate = Total Earnings / Hours Worked
Amount for 8 hours = Hourly Rate × 8

Theorems

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Suitable Grade Level

Grades 5-7