Question
During one semester of school, Sara Baker spent $6600 on expenses. She spent $1980 of that $6600, or 30%, 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.)
.
.
.
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
GPT-4o mini
To find the number of degrees that represent rent in a circle graph, you can use the following formula:
\[
\text{Degrees for rent} = \left(\frac{\text{Amount spent on rent}}{\text{Total expenses}}\right) \times 360
\]
In your case, Sara spent $1980 on rent out of a total of $6600. Plugging in the values:
\[
\text{Degrees for rent} = \left(\frac{1980}{6600}\right) \times 360
\]
Now, calculate the fraction:
\[
\frac{1980}{6600} = 0.3 \quad (\text{since } 30\% = \frac{30}{100} = \frac{3}{10})
\]
Now, multiply by 360:
\[
\text{Degrees for rent} = 0.3 \times 360 = 108
\]
Thus, rent covers **108 degrees** of the circle graph.
\[
\text{Degrees for rent} = \left(\frac{\text{Amount spent on rent}}{\text{Total expenses}}\right) \times 360
\]
In your case, Sara spent $1980 on rent out of a total of $6600. Plugging in the values:
\[
\text{Degrees for rent} = \left(\frac{1980}{6600}\right) \times 360
\]
Now, calculate the fraction:
\[
\frac{1980}{6600} = 0.3 \quad (\text{since } 30\% = \frac{30}{100} = \frac{3}{10})
\]
Now, multiply by 360:
\[
\text{Degrees for rent} = 0.3 \times 360 = 108
\]
Thus, rent covers **108 degrees** of the circle graph.