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.)

1 answer

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.