Max is making a circle graph of his spending on various items. How many total degrees would be used to represent food and entertainment?
Amount spent
$900.00
Rent
$810.00
Food
$570.00
9
Entertainment
$430.00
Clothes
12
1770
183°
133°
148°
To find the total degrees used to represent food and entertainment, you need to add the degrees used to represent each category. From the given information, the degrees used to represent food is 183° and the degrees used to represent entertainment is 133°.
Total degrees used to represent food and entertainment: 183° + 133° = 316°.
To find out how many total degrees would be used to represent food and entertainment in the circle graph, we need to calculate the angle for each item.
To do this, we can use the formula:
Angle = (Amount spent / Total amount spent) * 360°
For Food:
Angle = ($570.00 / $1770.00) * 360° = 0.3220 * 360° = 116.2°
For Entertainment:
Angle = ($430.00 / $1770.00) * 360° = 0.2429 * 360° = 87.4°
Therefore, the total degrees used to represent food and entertainment in the circle graph would be:
116.2° + 87.4° = 203.6°
So, the total degrees used to represent food and entertainment would be 203.6°.
To find out how many total degrees would be used to represent food and entertainment in the circle graph, we need to calculate the proportion of spending for food and entertainment out of the total spending.
Step 1: Add up the amounts spent on food and entertainment.
Food: $570.00
Entertainment: $430.00
Total spent on food and entertainment = $570.00 + $430.00 = $1,000.00
Step 2: Find the proportion of spending for food and entertainment out of the total spending.
Proportion of food and entertainment spending = (Total spent on food and entertainment) / (Total spending)
Proportion of food and entertainment spending = $1,000.00 / ($900.00 + $810.00 + $570.00 + $430.00 + $12.00) = $1,000.00 / $2,722.00 ≈ 0.367
Step 3: Calculate the total degrees in a circle (360 degrees) multiplied by the proportion of spending for food and entertainment.
Total degrees used for food and entertainment = 360 degrees * (Proportion of food and entertainment spending)
Total degrees used for food and entertainment = 360 degrees * 0.367 = 132.12 degrees
Rounded to the nearest whole number, the total degrees used to represent food and entertainment in the circle graph would be 132 degrees.