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?
O 128 + 38(x+y+z)
O 128(8.50x+9.50y +10z)
O 128 + 8.50x + 9.50y+10z
O 128 + x + y + z
The correct algebraic expression to describe the amount of money the Jones family will spend is 128 + 8.50x + 9.50y + 10z.
can you explain?
Certainly!
Let's break down the different costs involved:
- The family package costs $128. This is a fixed cost that doesn't change based on the number of meals or souvenir cups they purchase.
- The chicken platter costs $8.50 each. If they purchase x chicken platters, the cost of the chicken platters would be 8.50x.
- The burger platter costs $9.50 each. If they purchase y burger platters, the cost of the burger platters would be 9.50y.
- The souvenir cups cost $10.00 each. If they purchase z souvenir cups, the cost of the souvenir cups would be 10z.
To calculate the total amount of money the Jones family will spend, you add up the individual costs:
Fixed cost (family package): $128
Cost of chicken platters: 8.50x
Cost of burger platters: 9.50y
Cost of souvenir cups: 10z
Therefore, the total amount the Jones family will spend can be expressed as: 128 + 8.50x + 9.50y + 10z.
Note that options A and B are incorrect because they include the quantity of each meal (x and y) in the fixed cost, which is not appropriate. Option D is also incorrect because it only includes the quantity of each item (x, y, and z) without accounting for the fixed cost.