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
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°.
To find the total degrees used to represent food and entertainment on Max's circle graph, we need to calculate the proportion of the total spending that is allocated to food and entertainment.
The total spending on food is $860.00, and the total spending on entertainment is $770.00.
To find the proportion of the total spending allocated to food, we can divide the amount spent on food by the total spending and multiply by 360° (the total degrees in a circle).
Proportion of spending on food = (Amount spent on food / Total spending) * 360°
= ($860.00 / $2850.00) * 360°
= 0.301754 * 360°
= 108.63°
Similarly, we can calculate the proportion of the total spending allocated to entertainment.
Proportion of spending on entertainment = (Amount spent on entertainment / Total spending) * 360°
= ($770.00 / $2850.00) * 360°
= 0.270175 * 360°
= 97.25°
To find the total degrees used to represent food and entertainment, we add the degrees used for each category.
Total degrees = Degrees for food + Degrees for entertainment
= 108.63° + 97.25°
= 205.88°
Therefore, the total degrees used to represent food and entertainment is approximately 206°.
Hence, the correct answer is a. 206°.
To find out how many total degrees would be used to represent food and entertainment on Max's circle graph, we need to calculate the proportion of the amounts spent on food and entertainment compared to the total amount spent.
First, we add the amounts spent on food and entertainment together:
Food = $860.00
Entertainment = $770.00
Total spending on food and entertainment = $860.00 + $770.00 = $1630.00
Next, we calculate the percentage of the total spending that is represented by each category:
Food percentage = (Food spending / Total spending) * 100 = ($860.00 / $1630.00) * 100 ≈ 52.76%
Entertainment percentage = (Entertainment spending / Total spending) * 100 = ($770.00 / $1630.00) * 100 ≈ 47.24%
Now, we need to convert these percentages into degrees. Since a circle has 360 degrees, we can use the proportion:
Total degrees for Food = Food percentage * 360° ≈ 52.76% * 360°
Total degrees for Entertainment = Entertainment percentage * 360° ≈ 47.24% * 360°
Calculating these:
Total degrees for Food ≈ 187.96°
Total degrees for Entertainment ≈ 169.84°
Therefore, the total degrees used to represent food and entertainment on Max's circle graph is approximately 187.96° + 169.84° = 357.8°.
None of the provided options match the calculated result exactly, so we can choose the closest option, which is option d. 153°. However, please note that this is not the exact answer, but the closest option available.