Two friends, Olivia and Melanie, took summer jobs. The equation y, equals, 22, point, 2, xy=22.2x represents Melanie's earnings in dollars and cents, yy, for working xx hours. Olivia earned $1156 in 40 hours.
How much less per hour does Melanie earn than Olivia?
Let's solve Melanie's earnings per hour first using the equation given:
yy = 22.2x
We want to find Melanie's hourly wage, so we can set x equal to 1:
y = 22.2(1)
y = $22.20
So Melanie earns $22.20 per hour.
Now let's find out how much Olivia earns per hour. Olivia earned $1156 in 40 hours. To find her hourly wage, we divide her total earnings by the number of hours she worked:
Olivia's hourly wage = Total earnings / Total hours worked
Olivia's hourly wage = $1156 / 40
Olivia's hourly wage = $28.90
Now, to find out how much less per hour Melanie earns than Olivia, we subtract Melanie's hourly rate from Olivia's hourly rate:
Difference per hour = Olivia's hourly wage - Melanie's hourly wage
Difference per hour = $28.90 - $22.20
Difference per hour = $6.70
Melanie earns $6.70 less per hour than Olivia.