Question

URGENT nEED HELP I DON"T UNDERSTaND

Answer 1

The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:

$\begin{cases} & \text{ if } 20 \leq x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}$

What is a piecewise function?

A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.

The given table of values and equation are plotted on a graph using MS Excel

From the graph, and the table created, we have:

When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts

When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee

When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us

The selection table is presented as follows:

$\begin{cases} & \text{ if } 20 \leq x\leq 40 \ The \ company \ to \ be \ selected \ is \ Easy \ Calculation\\ & \text{ if } 40 < x \leq 80\ The \ company \ to \ be \ selected \ is \ Shirtee \\ & \text{ if } 80 < x \leq 200\The \ company \ to \ be \ selected \ is \ T-Shirts\ R\ Us \end{cases}$

Learn more about piecewise defined functions here:

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