Question

Two friends Josiah and Kylie took summer jobs the equation y = 17.1x represents Kylie’s earnings in dollars and cents y for working x hours the graph below represents Josiah’s earnings in dollars and cents y for working x hours how much less per hour does Kylie earn the Josiah (10,$283) (20,$566)

Answer 1

To determine how much less per hour Kylie earns compared to Josiah, we first need to analyze their earnings.

1. **Kylie’s Earnings:**
- The equation given for Kylie’s earnings is \( y = 17.1x \).
- This means Kylie earns $17.10 for every hour she works.

2. **Josiah’s Earnings:**
- The graph points provided for Josiah’s earnings are (10, $283) and (20, $566).
- We can calculate Josiah’s hourly earnings from these points:
- For 10 hours: Josiah earns $283.
- Thus, his hourly rate is:
\[
\text{Hourly Rate} = \frac{283}{10} = 28.3
\]
- For 20 hours: Josiah earns $566.
- Thus, his hourly rate is:
\[
\text{Hourly Rate} = \frac{566}{20} = 28.3
\]
- So, Josiah earns $28.30 per hour.

3. **Comparison of Earnings:**
- Kylie earns $17.10 per hour.
- Josiah earns $28.30 per hour.
- To find out how much less Kylie earns per hour compared to Josiah, we subtract Kylie’s earnings from Josiah’s:
\[
\text{Difference} = 28.3 - 17.1 = 11.2
\]

Therefore, Kylie earns $11.20 less per hour than Josiah.