SOLUTION: A chauffer can get paid in two different ways. Plan A: $500 plus $9/hr. Plan B: $14/hour Suppose that a job takes "n" hours. For what values of "n" is Plan A better than Plan

Question 572983: A chauffer can get paid in two different ways.
Plan A: $500 plus $9/hr.
Plan B: $14/hour
Suppose that a job takes "n" hours. For what values of "n" is Plan A better than Plan B?

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Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let n be the number of hours
Plan A 500 + 9 n
Plan B 14 n
Plan A > Plan B
500 + 9 n > 14.00 n
add -500 to both sides
500 + 9.00 n- -500 > 14.00 n -500
9 n > > 14 n -500
add -14 n
-5 n > -500
/ -5
n < 100
n should be less than 100 for Plan A to be better than plan B

Plan A > Plan B at 80 hours
Plan A 500 + 9.00 * 80 = 1220
Plan B 14.00 * 80 = 1120

Plan A < Plan B for 110 hours
Plan A 500 + 9.00 * 110 = 1490
Plan B 14.00 * 110 = 1540

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