# Quantitative and Empirical knowledge.

Math 1314 Core Objectives: Quantitative and Empirical Knowledge Skills, Critical Thinking Skills Write an essay on the given rental cost scenario below explaining how mathematics is useful to everyday activities and how it helps you to investigate and determine which plan is a better personal choice. For the cost scenario below, • determine the mileage for which the cost is the same for both rental plans, • discuss when, or at what point, is either plan comparatively cheaper or more expensive than the other, • explain what role the rate for mileage plays in the cost scenario and how it affects the cost for each rental plan, • and finally, state which plan you would purchase and why based on your findings. Use analysis and a table to support your conclusion. Equations and a table outlining mileage and corresponding costs for each rental plan must be presented in the essay to support your conclusion. “An island car rental agency offers two different rental plans of interest to you for your one week island vacation. Plan A provides a 2018 Jeep Renegade having a \$150 deposit for the week plus 40 cents per each mile driven. Plan B provides a 2018 Jeep Renegade having a \$110 deposit for the week plus 65 cents per mile driven.” 1. Must be in MLA format (Arial, 12pt, and double space) and 3-5 pages length. 2. The table should list mileage (x-miles) and corresponding costs (y-\$) for each plan in the cost scenario above and must be presented in the paper, but comprise no more than half of a page. Determine a reasonable range of values that includes the point for which both costs are equal. Table must use single spacing. 3. You may use other examples to justify your thought, but the given scenario is the primary subject. Other examples do not require equations and tables. If other examples are used in the paper, you must explain how/why mathematical concepts are useful to those examples. 4. You may add figures or pictures. If figures and/or pictures are used in the paper, you must explain how/why mathematical concepts are useful to the figures or pictures. You must document your reference sources if not your own work.