Question

12) A new amusement park decides to offer its visitors a choice between two plans. With Plan 1 they pay $6 to enter
the park and they pay $3.50 for each ride. With Plan 2 they pay $12 to enter the park and $1.50 for each ride. Write an
equation then find the number of rides when the cost will be the same. What will that cost be?

Answer 1

9514 1404 393

Answer:

• 3 rides
• $16.50

Step-by-step explanation:

The plan 1 cost for x rides will be ...

  y = 6 + 3.50x

The plan 2 cost for x rides will be ...

  y = 12 + 1.50x

These costs will be equal when ...

  y = y

  6 + 3.50x = 12 + 1.50x . . . . . substitute for y

  2.00x = 6 . . . . . . . . . . . . . subtract 6+1.50x

  x = 3 . . . . . . . . . . . . . . . divide by 2

For 3 rides, the cost will be the same.

__

For 3 rides the cost is ...

  y = 6 + 3.50(3) = 6 + 10.50 = 16.50

The cost for 3 rides will be $16.50 for either plan.