Math Problem Statement

The amount of money an employee earns is proportional to the number of hours worked. If the employee works 40 hours and earns $1,100, how much does the employee earn per hour?

Solution

The problem states that the amount of money an employee earns is proportional to the number of hours worked. Specifically, the employee works 40 hours and earns $1,100, and the question asks to determine the hourly wage.

To solve this:

  1. The total earnings = hourly wage × number of hours worked.

    Let the hourly wage be xx.

  2. Therefore, we set up the equation: 40×x=110040 \times x = 1100

  3. Solve for xx (the hourly wage): x=110040=27.50x = \frac{1100}{40} = 27.50

Thus, the employee earns $27.50 per hour, which is the first option.

Would you like more details or have any questions?

Here are five related questions:

  1. How much would the employee earn if they worked 50 hours at the same rate?
  2. What is the total pay for 30 hours of work at $27.50 per hour?
  3. If the hourly rate was reduced to $25.00, how much would the employee earn for 40 hours?
  4. What would the wage be if the employee earned $1,500 for 60 hours of work?
  5. How many hours would the employee need to work to earn $2,000 at the rate of $27.50 per hour?

Tip: Always check your proportion setup when dealing with direct proportionality problems to ensure proper relationships between quantities.

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Math Problem Analysis

Mathematical Concepts

Proportionality
Linear Equations

Formulas

Earnings = Hourly Wage × Hours Worked

Theorems

Direct Proportionality

Suitable Grade Level

Grades 6-8