Math Problem Statement

Shaniece earned $434.00 at her job when she worked for 20 hours. What was her hourly wage, in dollars per hour?

Solution

To find Shaniece's hourly wage, we can use the information provided:

  1. Total Earnings: $434.00
  2. Total Hours Worked: 20 hours

The hourly wage can be calculated by dividing the total earnings by the number of hours worked:

Hourly Wage=Total EarningsTotal Hours Worked=43420=21.70\text{Hourly Wage} = \frac{\text{Total Earnings}}{\text{Total Hours Worked}} = \frac{434}{20} = 21.70

Thus, Shaniece's hourly wage is $21.70 per hour.

On the double number line, the 20 hours would correspond to $434, and 1 hour would correspond to $21.70.

Would you like further details on this solution or help with other questions?

Here are some related questions to explore this concept further:

  1. How would you calculate earnings for a different number of hours worked at this rate?
  2. If Shaniece worked 30 hours instead of 20, what would her total earnings be?
  3. How would you set up a double number line for a scenario with different hourly wages?
  4. How can you use division to determine total hours worked if you know the total earnings and hourly wage?
  5. How would the calculation change if Shaniece received a raise in her hourly wage?

Tip: When using a double number line, label both quantities clearly and ensure proportional relationships between points to visualize calculations effectively.

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Math Problem Analysis

Mathematical Concepts

Division
Unit Rate
Double Number Line

Formulas

Hourly Wage = Total Earnings / Total Hours Worked

Theorems

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Suitable Grade Level

Grade 6-8