Question

Find the percent of change. Where necessary, round to the nearest percent. Describe the percent of change as a percent of increase or decrease. 31 in. to 7 in.

Answer 1

The percent of change is 77% and it is percent of decrease

Step-by-step explanation:

The percent of change is:

• Increasing if the new value is greater than the old value
• Decreasing if the new value is smaller than the old value
• Increasing% = $\frac{New-Old}{Old}$ × 100%
• Decreasing% = $\frac{Old-New}{Old}$ × 100%

∵ 31 inches changed to 7 inches

- The new value is smaller than the old value

∵ 31 is the old value

∵ 7 is the new value

∵ 7 < 31

∴ The change is  decreasing

- Find the percentage of decreasing using the formula of

  decreasing% above

∵ The percent of change = $\frac{31-7}{31}$ × 100%

∴ The percent of change = 77.419%

- Round it to the nearest percent

∴ The percent of change = 77% decreasing

The percent of change is 77% and it is percent of decrease

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