Solving Inequalities Your company needs to temporarily hire a programmer to work

Question

Solving Inequalities

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.
o 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.
o (Hint: Set up two expressions and use an inequality to separate them for solving. Let x = the number of hours worked.)

Explanation / Answer

The expression for the first company is y = 1000 + 20*x with x = hours, and y = amount to be paid. The expression for the second company is y = 25*x with x = hours, and y = amount to be paid. From there you can set up your inequalities or just graph it to see where the two intercept to get the optimal amount of time for both.

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