Pre-calculus

Your company offers three cell phone plans. The details are below:

Plan A allows 450 minutes for $39.99 with .25/minute for each minute over 450.
Plan B allows 900 minutes for $59.99 with .30/minute for each minute over 900.
Plan C allows 1500 minutes for $99.99 with .35/minute for each minute over 1500.
Write a report detailing the following:

An equation or inequality to represent each plan above.
Determine for how many minutes each plan is the best option for two customers. Customer Smith uses roughly 750 minutes per month. Customer Jones uses roughly 1350 minutes per month. Which plan should they choose and why?
Include a detailed explanation of your work, which scenario is better, and why.
Write a summary paragraph for your employees that will be answering and making phone calls.

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  1. A(m) = 39.99 for m <= 450
    A(m) = 39.99 + 0.25(m-450) for m > 450
    and similar functions for B,C
    Now plug in m=750 and 1350 and check A,B,C to find the best

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    oobleck

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