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+50y=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 in the box below.

Answer 1

Answer:10

hope this helps

i took the test and got it right

Answer 2

For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.