Question

Reggie is celebrating his birthday at a local pizza parlor. The all-you-can-eat meal costs $8.30 per adult and $4.29 per child. He wants to stay under a budget of $200 for the party. Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.

Answer 1

To stay within a budget of $200 for the pizza parlor birthday party, the inequality representing the budget constraint for the number of adults (A) and children (C) is 8.30A + 4.29C ≤ 200, where the coefficients 8.30 and 4.29 are the costs per adult and child, respectively.

Step-by-step explanation:

Reggie is organizing a birthday party at a pizza parlor with a certain budget constraint much like a typical consumer would have when deciding how to spend their limited income. The cost per adult is $8.30 and the cost per child is $4.29. With a total budget of $200, we can set up an inequality to describe the situation. If we denote the number of adults as A and the number of children as C, the inequality to represent this situation is:

8.30A + 4.29C ≤ 200

This inequality means that the total cost for adults and children combined should not exceed $200. To express it in standard form of an inequality Ax + By ≤ C, where A, B, and C are constants, we write:

8.30A + 4.29C ≤ 200

The coefficients 8.30 and 4.29 represent the cost per adult and per child, respectively, while the constant 200 is the maximum that Reggie can spend on the party.