Your company needs to temporarily hire a programmer to work on a project. Two pr

Question

Your company needs to temporarily hire a programmer to work on a project. Two proposed payment schemes for this work are as follows:

•(1) A flat fee of $1,000, plus $20 per hour or (2) $25 per hour.
?For each of the two plans, show an expression that can be used to compute the amount of pay for that plan. The variable should be the number of hours worked.
?Set up and solve an inequality that would enable your company to determine possible job lengths (in hours) for which the person is paid less according to plan 1 than for plan 2.
?Interpret the solution of the inequality in terms of which is better for your company.

Explanation / Answer

Let x be the number of hours and let y be the total cost Under plan 1 y = 1000 + 20x. Under plan 2 y = 25x set up the inequality 1000 + 20x < 25x, rearrange to 1000 < 5x, solve for x and get x < 200. So as long as the programmer works less than 200 hours, plan 1 is cheaper (better) than plan 2

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