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)

1 answer

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.