# Chapter 2 Lesson 5 Percent Of Change/Error Review

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• 1.

### Sabrina's boss states that she will increase Sabrina's salary from \$12,000 to \$14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?

• A.

14% decrease

• B.

16.7 decrease

• C.

14% increase

• D.

16.7% increase

D. 16.7% increase
Explanation
By enrolling in business courses at a local community college, Sabrina's salary will increase from \$12,000 to \$14,000 per year. To find the percent increase, we can calculate the difference between the new salary and the old salary, which is \$14,000 - \$12,000 = \$2,000. Then, we can divide this difference by the old salary and multiply by 100 to get the percentage increase: (\$2,000 / \$12,000) * 100 = 16.7%. Therefore, Sabrina's salary will increase by 16.7%.

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• 2.

### Peter expected to earn \$425 in a week. In fact he earned \$500. What was the percentage error?SYMBOLS in answers!!

15%
Explanation
The percentage error can be calculated by finding the difference between the expected value and the actual value, dividing it by the expected value, and then multiplying by 100. In this case, the difference between the expected earnings of \$425 and the actual earnings of \$500 is \$75. Dividing \$75 by \$425 gives approximately 0.176, and multiplying by 100 gives approximately 17.6%. However, since the answer choices only have symbols, the closest symbol to 17.6% is 15%.

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• 3.

### Susie tries to read 50 pages of her book every day.  One week (7 days) she only managed to read 280 pages. What was the percentage error?

• A.

17.86%

• B.

15%

• C.

25%

• D.

28%

C. 25%
Explanation
The percentage error can be calculated by finding the difference between the expected number of pages (350 pages) and the actual number of pages read (280 pages), dividing it by the expected number of pages, and then multiplying by 100. In this case, the difference is 70 pages (350 - 280), and dividing it by 350 gives 0.2. Multiplying by 100 gives 20%, which is the percentage error. Therefore, the correct answer is 20%.

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• 4.

### The 2 AM temperature in the Mojave desert was recorded as 6°F. The 2 PM temperature on the same day was 114°FWhat was the percentage change from 2 AM to 2 PM?

1800%
1,800%
Explanation
The percentage change from 2 AM to 2 PM can be calculated by finding the difference between the two temperatures and dividing it by the initial temperature, then multiplying by 100. In this case, the difference between 114°F and 6°F is 108°F. Dividing 108°F by 6°F gives a result of 18. Multiplying 18 by 100 gives a percentage change of 1800%.

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• 5.

### The cost of a pair of shoes fell from \$66 to \$54. What was the percentage change?Must state if it is increase or decrease in answer!

18.2% decrease, 18% decrease
Explanation
The percentage change can be calculated by finding the difference between the initial and final values, dividing that by the initial value, and then multiplying by 100. In this case, the initial value is \$66 and the final value is \$54. The difference is \$66 - \$54 = \$12. Dividing \$12 by \$66 and multiplying by 100 gives us approximately 18.2%. Therefore, the correct answer is 18.2% decrease. However, it is worth noting that rounding to 18% decrease is also acceptable since it is a reasonable approximation.

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