Question

Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.

Kelli made a table to show how much she earns in a given week.

Hours 0 5 10 15 20 25 30 35 40
Weekly Earnings 100 200 300 400 500 600 700 800 900
Karl earns $25 an hour and receives a $50 weekly bonus.

Karl made a graph to show how much he earns per hour in a given week.



How many hours will it take Kelli and Karl to earn the same amount of money?

Enter your answer in the box.

hours

Answer 1

Answer:   When they work 10 hours each, they both make $300.

kelli    y = 20x + 100
karl    y = 25x + 50

substitution:

y = 20x + 100

25x + 50 = 20x + 100
-20x  -50    -20x   -50
--------------------------------
5x = 50 
5       5

x = 10

(Then plug into any equation)
y = 25x + 50
y = 25(10)  + 50
y = 300

When they work 10 hours each, they both make $300.

Answer 2

Answer: 10

How many hours will it take Kelli and Karl to earn the same amount of money? i took the k12 quiz