Question
Mr. Sandoval is ordering pizzas and breadsticks for a school pizza party and has a budget of $74, but no more. An order of breadsticks costs $7 and a pepperoni pizza costs $14.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of orders of breadsticks
y = the number of pepperoni pizzas
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of orders of breadsticks
y = the number of pepperoni pizzas
Answers
GPT-4o mini
To develop the inequality in standard form for Mr. Sandoval's pizza order, we'll define the variables as follows:
- \( x \) = the number of orders of breadsticks
- \( y \) = the number of pepperoni pizzas
The cost of breadsticks is $7 per order, and the cost of a pepperoni pizza is $14. Therefore, the total cost of the breadsticks and pizzas can be represented by the expression:
\[
7x + 14y
\]
Mr. Sandoval has a budget of $74, so we need the total cost to be less than or equal to this budget. This gives us the inequality:
\[
7x + 14y \leq 74
\]
To express this in standard form (Ax + By ≤ C), we can rearrange it as:
\[
7x + 14y \leq 74
\]
Thus, the inequality in standard form that describes the situation is:
\[
7x + 14y \leq 74
\]
- \( x \) = the number of orders of breadsticks
- \( y \) = the number of pepperoni pizzas
The cost of breadsticks is $7 per order, and the cost of a pepperoni pizza is $14. Therefore, the total cost of the breadsticks and pizzas can be represented by the expression:
\[
7x + 14y
\]
Mr. Sandoval has a budget of $74, so we need the total cost to be less than or equal to this budget. This gives us the inequality:
\[
7x + 14y \leq 74
\]
To express this in standard form (Ax + By ≤ C), we can rearrange it as:
\[
7x + 14y \leq 74
\]
Thus, the inequality in standard form that describes the situation is:
\[
7x + 14y \leq 74
\]