During one semester of​ school, Sara Baker spent ​$5400 on expenses. She spent ​$1620 of that ​$5400​, 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 determine how many degrees represent rent on a circle graph, you can follow these steps:

  1. Calculate the total degrees of the circle graph: A circle has a total of 360 degrees.

  2. Find the percentage of expenses spent on rent: Sara spent $1620 on rent out of total expenses of $5400. The percentage spent on rent can be calculated as follows:

    \[ \text{Percentage on rent} = \frac{1620}{5400} \times 100 = 30% \]

  3. Calculate the degrees for rent: Now, convert the percentage of rent into degrees by multiplying it by the total degrees of the circle graph:

    \[ \text{Degrees for rent} = 30% \times 360 = \frac{30}{100} \times 360 = 108 \text{ degrees} \]

Thus, the degrees that must represent rent on the circle graph is:

Rent covers 108 degrees of the circle graph.