Question

A local store offers two installment plans for buying a $270 skateboard.

Plan 1: A fixed weekly payment of $10.80
Plan 2: A $120 initial payment plus $6.00 per week

a. For each plan, how much money is owed after 12 weeks?
b. Which plan requires the least number of weeks to pay for the skateboard? Explain.
c. Write an expression that represents the amount of money paid after “w” weeks for
each plan. Explain what information the variables and numbers represent.

Answer 1

For Plan 1, the amount owed after 12 weeks is $129.60, while for Plan 2, it is $192.00. Plan 1 requires the least number of weeks to pay for the skateboard. The expressions that represent the amount of money paid after a certain number of weeks for each plan are $10.80w + $120 and $6.00w + $120.

Step-by-step explanation:

a. For Plan 1, the weekly payment is $10.80. After 12 weeks, the amount owed can be calculated by multiplying the weekly payment by the number of weeks: $10.80 x 12 = $129.60.

For Plan 2, the initial payment is $120, and the weekly payment is $6.00. The total amount owed after 12 weeks can be calculated by adding the initial payment to the product of the weekly payment and the number of weeks: $120 + ($6.00 x 12) = $192.00.

b. Plan 1 requires the least number of weeks to pay for the skateboard. Since the amount owed for Plan 1 after 12 weeks is $129.60 and the amount owed for Plan 2 after 12 weeks is $192.00, Plan 1 is the quicker option.

c. For Plan 1, the expression that represents the amount of money paid after "w" weeks is: $10.80w + $120. The variable "w" represents the number of weeks.

For Plan 2, the expression that represents the amount of money paid after "w" weeks is: $6.00w + $120. The variable "w" represents the number of weeks.