Question

During one semester of​ school, Sara Baker spent ​$6200 on expenses. She spent ​$1240 of that ​$6200​, or 20​%, on rent. On a circle graph of​ Sara's​ expenses, how many degrees must represent​ rent?
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Question content area right
Part 1
Rent covers
  
enter your response here degrees of the circle graph.
​(Simplify your answer. Type an integer or a​ decimal.)

Answers

Answered by GPT-4o mini
To find out how many degrees represent rent on a circle graph, we can use the following relationship:

1. A full circle is 360 degrees.
2. The percentage of the circle that corresponds to rent can be calculated as follows:

\[
\text{Degrees for rent} = \left(\frac{\text{Amount spent on rent}}{\text{Total expenses}}\right) \times 360
\]

Given that Sara spent \( \$1240 \) on rent out of a total of \( \$6200 \):

\[
\text{Degrees for rent} = \left(\frac{1240}{6200}\right) \times 360
\]

First, calculate the fraction:

\[
\frac{1240}{6200} = 0.2
\]

Now, multiply this fraction by 360 degrees:

\[
\text{Degrees for rent} = 0.2 \times 360 = 72
\]

So, the degree measurement that represents rent on the circle graph is:

**72 degrees.**
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