Math question .

Question

Mr. Hill wants to make a treehouse so he calls two 9th grade students to help. Jake charges a flat fee of $5 plus $12 per hour to build a treehouse. Brianna charges an initial fee of $10 plus $10 per hour.

a. write an equation that can be used to determine after how many hours will they charge the same amount of money.

b. solve algebraically and state how many hours the two will charge the same amount

c. Jake thinks it will take 6 hours for the two to charge the same amount of money. state whether or not you agree with jake

Answer 1

Let x = the number of hours worked

Let y = the total amount charged

Jake: y = 12x+5

Brianna: y = 10x+10

a) 12x+5 = 10x+10

b) Solving for x

2x = 5

x = 5/2 = 2.5 hours

c)

Jake: 12(6) +5 = 72+5 = $77

Brianna: 10(6) + 10 = 60+10 = $70

Disagree

Answer 2

5+12x = 10 + 10x

2x=5

x=2.5

so after 2 and a half hours, they charge the same.