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Algebra / Linear inequalities in one or two variables Difficulty: Hard

$11 x + 14 y \leq 115$

Anthony will spend at most $dollar sign 115$ to purchase $x$ small cheese pizzas and $y$ large cheese pizzas for a team dinner. The given inequality represents this situation. Which of the following is the best interpretation of $14 y$ in this context?

The amount, in dollars, Anthony will spend on each large cheese pizza

The amount, in dollars, Anthony will spend on each small cheese pizza

The total amount, in dollars, Anthony will spend on large cheese pizzas

The total amount, in dollars, Anthony will spend on small cheese pizzas

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Explanation

Choice C is correct. It's given that Anthony will spend at most $dollar sign 115$ to purchase $x$ small cheese pizzas and $y$ large cheese pizzas. In the inequality $11 x + 14 y \leq 115$ , $y$ represents the number of large cheese pizzas that Anthony will purchase. This means the coefficient $14$ represents the amount, in dollars, Anthony will spend on each large cheese pizza. Therefore, the best interpretation of $14 y$ in this context is the total amount, in dollars, Anthony will spend on large cheese pizzas.

Choice A is incorrect. This is the best interpretation of $14$ , not $14 y$ .

Choice B is incorrect. This is the best interpretation of $11$ , not $14 y$ .

Choice D is incorrect. This is the best interpretation of $11 x$ , not $14 y$ .