137k views
1 vote
An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours . He charged another customer $150 for a job that took him 8 hours . Which equation models the relationship?.

User Nyasia
by
8.5k points

1 Answer

10 votes

Answer:

let x equal the service charge.

let y equal the per hour charge.

for the job that cost 450, the equation is 450 = x + 6y

for the job that cost 330, the equation is 330 = x + 4y

these two equations needs to be solved simultaneously.

subtract the second equation from the firs to get 120 = 2y

solve for y to get y = 60.

in the first equation, replace y with 60 to get 450 = x + 6*60.

simplify to get 450 = x + 360.

subtract 360 from both sides of the equation to get 90 = x.

it appears that the service charge is equal to 90 and the per hour charge is equal to 60.

for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.

for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.

the numbers check out.

the service charge is 90.

the per hour charge is 60.

i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.

Explanation:

User Paul Gregoire
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories