Question

The first company charges $50 for a service call,plus an additional $36 per hour for labor.The second company charges $35 for a service call,plus an additional $39 per hour of labor.At how many hours will the two companies charge the same amount of money?

Answer 1

5 hours

Explanation:

So what you have to do is set the two equal to one another and solve for x

50+36x=35+39x

-35 -35

15+36x=39x

-36x -36x

15= 3x

/3 /3

5=x

Answer 2

Answer: it would take 5 hours of labour before you pay the same amount for both companies.

Explanation:

Let x represent the number of hours of labour that you pay for company A or company B

Let y represent the total amount paid for x hours of labour at company A

Let z represent the total amount paid for x hours of labour at company B

company A charges $50 for a service call plus an additional $36 per hour for labor.. This means that the total amount for x hours of labour would be

y = 36x + 50

company B charges $35 for a service call plus an additional $39 per hour of labor. This means that the total amount for x hours would be

z = 39x + 35

To determine the number of hours of labour before the amount for both companies becomes the same, we would equate y to z. It becomes

36x + 50 = 39x + 35

39x - 36x = 50 - 35

3x = 15

x = 5