Question

When constructing a pie chart for students, they were asked what their favourite

fruit is out of apples, bananas and oranges. The person making the pie chart did
not put up the percentage but you can measure and see that the interior angles for
three categories are 130 degrees for apples, 80 degrees for bananas and 150
degrees for oranges. Roughly what percentage of students chose apples as a
favourite food?
a .42
b .36
c .64
d .22

Answer 1

The percentage of students who chose apples as their favorite fruit is calculated by dividing the interior angle for apples by the total degrees in a circle and multiplying by 100%. Approximately 36% of students chose apples.

Step-by-step explanation:

The student is asking how to find the percentage of students who chose apples as their favorite fruit when given the interior angles of a pie chart. Since the pie chart represents a circle, and a circle has a total of 360 degrees, we can calculate the percentage by dividing the angle corresponding to apples by the total degrees in a circle and then multiplying by 100.

For apples, the interior angle is 130 degrees. So, the calculation for the percentage is (130 degrees / 360 degrees) × 100%

Percentage of students who chose apples = (130 / 360) × 100% = 36.11% (rounded to two decimal places)

Therefore, the correct answer is b. 36%, which is the approximate percentage of students who chose apples as a favorite fruit.