The Jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to buy lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each cost $10.00, which includes unlimited refills. Mr. and Mrs. Jones have a budget and are trying to decide who will order which platter and who will buy a souvenir cup. Let x represent the number of chicken platters, y represent the number of burger platters, and z represent the number of souvenir cups. Which of the following algebraic expressions can be used to describe the amount of money the Jones family will spend, before sales tax, based on the number of each meal and souvenir cups they purchase?

Question

The Jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to buy lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each cost $10.00, which includes unlimited refills. Mr. and Mrs. Jones have a budget and are trying to decide who will order which platter and who will buy a souvenir cup. Let x represent the number of chicken platters, y represent the number of burger platters, and z represent the number of souvenir cups. Which of the following algebraic expressions can be used to describe the amount of money the Jones family will spend, before sales tax, based on the number of each meal and souvenir cups they purchase?

128 + 38(x + y + z)

128(8.50x + 9.50y + 10z)

128 + 8.50x + 9.50y + 10z

128 + x + y + z

Answer 1

The correct algebraic expression that can be used to describe the amount of money the Jones family will spend, before sales tax, based on the number of each meal and souvenir cups they purchase is:

128 + 8.50x + 9.50y + 10z

Answer 2

how did you get this answer

Answer 3

To determine the algebraic expression that represents the amount of money the Jones family will spend, before sales tax, we need to consider the cost of the family package and the cost of the individual items they plan to purchase.

The family package costs $128.00, so we start with that as a base.

Now, let's break down the costs of the individual items. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. If Mr. and Mrs. Jones order x chicken platters and y burger platters, the cost will be 8.50x and 9.50y respectively.

Additionally, each souvenir cup costs $10.00, so if they buy z souvenir cups, the cost will be 10z.

To calculate the total cost, we add up the cost of the family package, the chicken platters, the burger platters, and the souvenir cups:

Family package cost = $128.00
Chicken platter cost = 8.50x
Burger platter cost = 9.50y
Souvenir cup cost = 10z

So the algebraic expression representing the total cost is:

128 + 8.50x + 9.50y + 10z