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
177°
183°
133°
148°
To find the total degrees used to represent food and entertainment, we need to add the degrees used to represent each category. The degrees used for food are 177° and the degrees used for entertainment are 183°.
177° + 183° = 360°
Therefore, a total of 360 degrees would be used to represent food and entertainment in Max's circle graph.
To find the total degrees used to represent food and entertainment on the circle graph, we need to calculate the angle for each category.
First, let's calculate the angle for food. We know that the amount spent on food is $570.00. To calculate the angle, we can use the formula:
Angle = (Amount spent / Total amount spent) * 360°
For food:
Angle = ($570.00 / ($900.00 + $810.00 + $570.00 + $430.00 + $177.00 + $183.00 + $133.00 + $148.00)) * 360°
Angle = ($570.00 / $3241.00) * 360°
Angle ≈ 0.1759 * 360°
Angle ≈ 63.32°
Now let's calculate the angle for entertainment. We know that the amount spent on entertainment is $430.00. Using the same formula, we can calculate the angle:
Angle = (Amount spent / Total amount spent) * 360°
For entertainment:
Angle = ($430.00 / ($900.00 + $810.00 + $570.00 + $430.00 + $177.00 + $183.00 + $133.00 + $148.00)) * 360°
Angle = ($430.00 / $3241.00) * 360°
Angle ≈ 0.1328 * 360°
Angle ≈ 47.81°
Therefore, the total degrees used to represent food and entertainment on the circle graph would be 63.32° + 47.81° = 111.13° (approximately).
To find out how many total degrees would be used to represent food and entertainment in the circle graph, we need to first determine the proportion each item represents in the total spending.
Total spending = Amount spent on Rent + Amount spent on Food + Amount spent on Entertainment + Amount spent on Clothes
Total spending = $810.00 + $570.00 + $430.00 + $183.00 = $1993.00
Now, we calculate the proportion of food and entertainment spending.
Proportion of food spending = Amount spent on Food / Total spending
Proportion of food spending = $570.00 / $1993.00 ≈ 0.286 (rounded to three decimal places)
Proportion of entertainment spending = Amount spent on Entertainment / Total spending
Proportion of entertainment spending = $430.00 / $1993.00 ≈ 0.216 (rounded to three decimal places)
To represent these proportions in degrees, we multiply each proportion by 360 (the total number of degrees in a circle).
Degrees for food = Proportion of food spending * 360 degrees
Degrees for food = 0.286 * 360 ≈ 103 degrees (rounded to the nearest whole number)
Degrees for entertainment = Proportion of entertainment spending * 360 degrees
Degrees for entertainment = 0.216 * 360 ≈ 78 degrees (rounded to the nearest whole number)
Therefore, approximately 103 degrees would be used to represent food, and approximately 78 degrees would be used to represent entertainment in the circle graph.