Yasmine is a pharmaceutical sales representative. Her firm gives her a weekly allowanceof $300 to spend on lunches with physicians and their office staffs. A restaurant from which Yasmine often buys the lunches charges $7 for a cold dish and $11 for a hot dish, including drinks. If each meal is subject to a 5.75% sales tac, which of the following inequalities represents the number of cold dishes (c) and hot dishes (h) that Yasmine can purchase for sales-related lunches in one week, assuming the purchase all the lunches from this restaurant?

Options

A. `7x+11hle1.0575(300)`
B. `7x+11hge1.0575(300)`
C. `1.0575(7c+11h)le300`
D. `1.0575(7c+11h)ge300`

Answer

C

Explanation

Difficult:Easy:
Category: Heart of Algebra/ Inequalities
Strategic Advice: Numbers sprinkled throughout a wordly question tell you to use the Kaplan Strategy for Translating English into Math. Note that in this question, you're only asked for an inequality and not a simplified solution set.
Getting to the Answer: The variable c and h reppresent the number of cold and hot dishes purchased, which cost $7 and $11 each , respectively. Therefore, the amount spent on cold dishes is 7x, and the amount spent on hot dishes is 11h. Sales tax is 5.75%, so the total spent on salesrelated lounches is `1.0575(7x+11h). Yasmine has weekly allowance of $300 for lunches,so she can spend that much or less, making the inequality `1.0575(7c+11h)le300`, which is (C).