To determine how much money Riley needs to earn to purchase the jacket that costs $49.99, we can use a proportional relationship. Let's assume Riley earns a certain amount of money for each hour he works.
Let's denote:
- \( x \) = amount Riley earns per hour (in dollars)
- \( h \) = number of hours Riley needs to work
The relationship can be expressed as:
\[ \text{Total Earnings} = \text{Hourly Wage} \times \text{Hours Worked} \]
So, we have:
\[ 49.99 = x \times h \]
To find the number of hours Riley needs to work, we can rearrange this equation:
\[ h = \frac{49.99}{x} \]
Now, depending on the amount he earns per hour \( x \), we can calculate how many hours Riley will need to work.
Example Calculations
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If Riley earns $10 per hour: \[ h = \frac{49.99}{10} = 4.999 \text{ hours} \approx 5 \text{ hours} \]
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If Riley earns $15 per hour: \[ h = \frac{49.99}{15} \approx 3.33 \text{ hours} \approx 3.5 \text{ hours} \]
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If Riley earns $20 per hour: \[ h = \frac{49.99}{20} = 2.495 \text{ hours} \approx 2.5 \text{ hours} \]
Conclusion
To find the number of hours Riley needs to work based on his hourly wage, just substitute \( x \) with the amount he earns per hour into the equation \( h = \frac{49.99}{x} \).
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