Math Problem Statement
Milani earns $___ each time she washes the car. She washes her family's car each week. She also earned an additional $___ for waxing the car one week.
Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money she could earn in any number of weeks, w. Make sure that the values you choose make sense for this situation.
Solution
Let's choose the values for the blanks in a way that makes sense for this scenario. We'll say Milani earns $15 each time she washes the car, and she earned an additional $10 for waxing the car one week.
So, the rewritten description would be:
Milani earns $15 each time she washes the car. She washes her family's car each week. She also earned an additional $10 for waxing the car one week.
To express the total amount of money Milani could earn in any number of weeks, w, we can break it down as follows:
- She earns $15 each week for washing the car, so in w weeks, she would earn .
- She earned an extra $10 in one of those weeks for waxing the car.
The total amount of money Milani earns in w weeks would be:
This equation shows her earnings over any number of weeks w, including the one-time bonus for waxing.
Would you like further details on how this formula works or have any questions?
Here are 5 questions to expand your understanding:
- How much would Milani earn if she washed the car for 5 weeks and waxed it once?
- What would the equation look like if Milani earned a different amount for washing the car?
- How would the equation change if Milani waxed the car multiple times?
- Can you rewrite the equation if she earns a one-time bonus of $20 for waxing instead?
- What happens to her total earnings if she skips waxing the car?
Tip: Always make sure to distinguish between weekly earnings and one-time bonuses in equations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Total earnings = 15w + 10
Theorems
Linear equation
Suitable Grade Level
Grades 6-8
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