SOLUTION: You are considering two job offers for selling TVs. Job A pays $300 plus $9.00 per hour Job B pays straight $12.50 per hour How many hours would you have to work for job B to be

Question 1151933: You are considering two job offers for selling TVs.
Job A pays $300 plus $9.00 per hour
Job B pays straight $12.50 per hour
How many hours would you have to work for job B to be BETTER?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
A pays 300 + 9 per hour.
B pays 12.50 per hour.
let x = number of hours.
let rA = total pay from A.
let rB = total pay frm B.
you want to know the rB > rA (more pay is better).
rB > rA when 12.50 * x > 300 + 9 * x.
subtract 9x from both sides of this inequality to get:
12.50 * x - 9 * x > 300
combine like terms to get:
3.5 * x > 300
divide both sides of this inequality by 3.5 to get:
x > 300 / 3.5
solve for x to get:
x > 85.71428571.
B will be better (total compensation is more) when the number of hours worked is greater than 85.71428571.
if you're dealing with integer hours, then 86 is your answer.
85 hours * 9 + 300 = 1065 total compensation.
85 hours * 12.50 = 1062.5 total compensation.
A is better.
86 hours * 9 + 300 = 1074 total compensation.
86 hours * 12.50 = 1075 total compensation.
B is better.
as the hours get higher than 85.71428571, B gets better and stays better.

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