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Chapter 6: Problem 3

The Center for Education Reform was founded in 1993 to improve education opportunitics in U.S. communities. According to Charity Navigator, an independent charity watchdog, the Center for Education Reform used 10.5 cents out of every dollar in its spending budget for administrative expenses in 2007 . That year, the center's spending budget was 2.2 million dollars. a. Use a proportion to estimate the administrative expenses for 2007 . b. Out of every dollar spent on administrative expenses in \(2007,79.6\) cents went to the Center's president as compensation. Use a proportion to estimate her pay for that year to the nearest thousand dollars.

Short Answer

Expert verified
Round your answer to the nearest thousand dollars. Answer: The estimated president's pay for 2007 was about $184,000.

Step by step solution

01

Write the proportion

We are given that 10.5 cents out of every dollar were spent on administrative expenses in 2007. We can set up the proportion like this: \(\frac{10.5}{100} = \frac{x}{2,200,000}\), where x represents the administrative expenses in dollars.
02

Solve for the administrative expenses

Now we can solve for x by cross-multiplying and dividing: \(x = \frac{10.5 \times 2,200,000}{100}\) \(x = 231,000\) So the administrative expenses for 2007 were approximately $231,000. b. Estimate the president's compensation
03

Write the proportion for the president's compensation

We are given that 79.6 cents out of every dollar spent on administrative expenses went to the president's compensation. We can set up the proportion like this: \(\frac{79.6}{100} = \frac{y}{231,000}\), where y represents the president's pay in dollars.
04

Solve for the president's pay

Now we can solve for y by cross-multiplying and dividing: \(y = \frac{79.6 \times 231,000}{100}\) \(y = 183,756\) Since we are asked to estimate the pay to the nearest thousand dollars, we can round \(183,756\) to \(184,000\). So the president's pay for 2007 was about $184,000.

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