Question

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizza and has a budget of no more than $81. An order of breadsticks costs $7, and a pizza costs $13.

Answer 1

The linear inequality representing Ms. Savva's budget constraint is 13Qp + 7Qb ≤ 81 and its standard form is 13Qp + 7Qb - 81 ≤ 0, where Qp is the number of pizzas and Qb is the number of breadsticks.

Step-by-step explanation:

When Ms. Savva is planning to order pizza and breadsticks with a budget constraint, we express this situation as a linear inequality. Let's call the quantity of pizzas Qp and the quantity of breadsticks Qb. The cost of a pizza is $13 (Pp) and the cost of breadsticks is $7 (Pb). Ms. Savva has a budget of no more than $81. This scenario can be formulated into the inequality:

13Qp + 7Qb ≤ 81

To write the linear inequality in standard form for this situation, we need to rearrange the inequality to:

13Qp + 7Qb - 81 ≤ 0

Here, the coefficients of Qp and Qb reflect the prices of the pizza and breadsticks, respectively, and the number 81 represents the budget limit. This inequality captures the budget constraint that Ms. Savva faces when ordering pizzas and breadsticks.