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Ludmilka [50]
2 years ago
7

Two friends, Olivia and Melanie, took summer jobs. The equation y=22.2xy=22.2x represents Melanie's earnings in dollars and cent

s, yy, for working xx hours. Olivia earned $1156 in 40 hours. How much less per hour does Melanie earn than Olivia?
Mathematics
1 answer:
wariber [46]2 years ago
6 0

Answer:

  $6.70 per hour

Step-by-step explanation:

We want to compare the pay for 1 hour's work.

<h3>Melanie's pay</h3>

The equation tells us that her pay for working 1 hour can be found from the equation using x=1.

  y = 22.2x

  y = 22.2×1 = 22.2 . . . . pay for 1 hour

Melanie earns $22.20 per hour.

<h3>Olivia's pay</h3>

We assume that Olivia's pay is proportional to hours worked, so pay for 40 hours will be 40 times 1 hour's pay.

  pay per hour = $1156/(40 h) = $28.90/h

Olivia earns $28.90 per hour.

<h3>Pay difference</h3>

The difference in their rates of pay is ...

  $28.90 -22.20 = $6.70

Melanie earns $6.70 less per hour than Olivia.

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