Max is making a circle graph of his spending on various items. How many total degrees would be used to represent food and entertainment?

Rent

Food

$900.00

Amount spent

$860.00

Entertainment

$770.00

Clothes

$320.00

a. 206°

c. 154 d. 153°

b. 138

1 answer

To find the total degrees used to represent food and entertainment, we need to calculate the percentage of the total spending for each category and then multiply that by 360° (the total degrees in a circle).

The percentage spent on food is given by:

(860 / (900 + 860 + 770 + 320)) * 100 = 860 / 2850 * 100 = 30.18%

The percentage spent on entertainment is given by:

(770 / 2850) * 100 = 27.02%

To find the total degrees used for food, we multiply the percentage spent on food by 360°:

30.18% * 360° = 108.648° ≈ 109°

To find the total degrees used for entertainment, we multiply the percentage spent on entertainment by 360°:

27.02% * 360° = 97.272° ≈ 97°

Therefore, the total degrees used to represent food and entertainment is approximately 109° + 97° = 206°.

The answer is a. 206°.