A small-town newspaper examines its daily circulation. Last week, it sold 200

Question

newspapers daily. This week, it sold 186
newspapers daily.

Part A: What is the percent decrease in the newspaper's circulation since last week?

Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

Round your answer to the nearest whole number.

Select two answers: one for Part A and one for Part B.

Responses

B: 160
B: 160

A: 7%
A: 7 percent

A: 3.5%
A: 3 point 5 percent

B: 168
B: 168

B: 180
B: 180

A: 14%
A: 14 percent

A: 7.5%
A: 7 point 5 percent

B: 173
B: 173
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Answer 1

To solve the questions, let's break them down step by step.

Part A: Percent Decrease

The percent decrease can be calculated using the formula:

\[ \text{Percent Decrease} = \left(\frac{\text{Old Value} - \text{New Value}}{\text{Old Value}}\right) \times 100 \]

In this case, the old value (last week’s circulation) is 200, and the new value (this week’s circulation) is 186.

So,

\[ \text{Percent Decrease} = \left(\frac{200 - 186}{200}\right) \times 100 = \left(\frac{14}{200}\right) \times 100 = 7% \]

Part B: Future Circulation

To find the next week's circulation after the same percent decrease, we’ll first find the amount of the decrease using the same percent we calculated in Part A.

The decrease next week can be calculated as follows:

\[ \text{Decrease} = \text{Current circulation} \times \left(\frac{7}{100}\right) \]

So, if this week’s circulation is 186:

\[ \text{Decrease} = 186 \times 0.07 = 13.02 \]

Next, we subtract this decrease from this week’s circulation:

\[ \text{Next week’s circulation} = 186 - 13.02 \approx 173 \]

Final Answers

• Part A: 7%
• Part B: 173

Selected Responses:

• For Part A: A: 7%
• For Part B: B: 173