Question

A roller coaster can accommodate 18 riders in 8 minutes. Complete the table with equivalent ratios.
1624323654
Number of Riders 18
72
Number of Minutes 8

Answer 1

Rate: 18 riders in 8 minutes → minutes per rider = 8/18 = 4/9 min/rider. So Minutes = (Number of riders) × 4/9.

Using riders 16, 18, 24, 32, 36, 54, 72:

- 16 riders → 16×4/9 = 64/9 = 7 1/9 minutes (7 min 6 2/3 sec)
- 18 riders → 18×4/9 = 8 minutes
- 24 riders → 24×4/9 = 96/9 = 32/3 = 10 2/3 minutes (10 min 40 sec)
- 32 riders → 32×4/9 = 128/9 = 14 2/9 minutes (14 min 13 1/3 sec)
- 36 riders → 36×4/9 = 16 minutes
- 54 riders → 54×4/9 = 24 minutes
- 72 riders → 72×4/9 = 32 minutes

You can fill your table with those minute values.