Question

USE proportional relationships to solve the following problem riley needs to earn enough money to purchase a jacket the jacket he likes best is 49.99

Answer 1

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
1. **If Riley earns $10 per hour**:
\[
h = \frac{49.99}{10} = 4.999 \text{ hours} \approx 5 \text{ hours}
\]

2. **If Riley earns $15 per hour**:
\[
h = \frac{49.99}{15} \approx 3.33 \text{ hours} \approx 3.5 \text{ hours}
\]

3. **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 \( h = \frac{49.99}{x} \).