The Jones family plans a trip to the amusement park and purchase a family package for $280.00. 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 + 9.50 + 10z

128 + x + y + z

The correct expression 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

show work

To find the amount of money the Jones family will spend, we need to calculate the cost of the family package, the cost of the chicken platters, the cost of the burger platters, and the cost of the souvenir cups.

The cost of the family package is $280.00.

The cost of the chicken platters is $8.50 each, so the total cost for x chicken platters is 8.50x.

The cost of the burger platters is $9.50 each, so the total cost for y burger platters is 9.50y.

The cost of the souvenir cups is $10.00 each, so the total cost for z souvenir cups is 10z.

To find the total amount of money the Jones family will spend, we add all of these costs together:

Total cost before sales tax = Family package cost + Chicken platter cost + Burger platter cost + Souvenir cup cost
Total cost before sales tax = $280.00 + 8.50x + 9.50y + 10z

Therefore, the correct algebraic expression 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