Question

chipwich summer camp surveyed 100 campers to determine which lake activity was their favorite. the results are given in the table.
lake activity | number of campers
kayaking | 15
wakeboarding | 11
windsurfing | 7
waterskiing | 13
paddleboarding | 54

if a circle graph was constructed from the results, which lake activity has a central angle of $46.8^\circ$?

• kayaking
• wakeboarding
• waterskiing
• paddleboarding

Explanation:

Step1: Find ratio for given angle

The central angle of a full circle is $360^\circ$. Calculate the ratio of the given angle to the full circle:
$\frac{46.8^\circ}{360^\circ} = 0.13$

Step2: Calculate corresponding camper count

Multiply the ratio by total campers (100):
$100 \times 0.13 = 13$

Step3: Match count to activity

Find the activity with 13 campers from the table.

Answer:

C. Waterskiing