Question

Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus. 

Danielle wrote an equation to determine how much she earns in a given week.

y = 15x + 50

David earns $12 an hour and receives an $80 weekly bonus.

David made a graph to show how much he earns in a given week.

How many hours will it take Danielle and David to earn the same amount of money?

Enter your answer below.

? Hours

Answer 1

Let, the that time = x
Equation for Danielle, 15x+50
Equation for David, 12x+80

For equal hours, they should be equal,
15x+50 = 12x+80
15x-12x = 80-50
3x = 30
x = 10

So, your final answer is 10

Answer 2

y=15x+50
y=12x+80
12x+80=15x+50
12+30=15x
30=3x
x=10
They need to work for ten weeks to earn the same amount of money

Hope this helps :)