Question

Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease.

a) From 23 to 39 1
b) From 94 to 28
c) From 86 to 52
d) From 63 to 45

Answer 1

The percent change can be calculated using a formula, which results in the following values: a) approximately 69.6% increase, b) approximately 70.2% decrease, c) approximately 39.5% decrease, and d) approximately 28.6% decrease.

Step-by-step explanation:

To find the percent change, we use the formula:

Percentage Change = [(New Value - Original Value) / |Original Value|] × 100%.

Let's calculate each:

• a) From 23 to 39:
  Percentage Increase = [(39 - 23) / 23] × 100% = (16 / 23) × 100% ≈ 69.6% (Increase)
• b) From 94 to 28:
  Percentage Decrease = [(28 - 94) / 94] × 100% = (-66 / 94) × 100% ≈ -70.2% (Decrease)
• c) From 86 to 52:
  Percentage Decrease = [(52 - 86) / 86] × 100% = (-34 / 86) × 100% ≈ -39.5% (Decrease)
• d) From 63 to 45:
  Percentage Decrease = [(45 - 63) / 63] × 100% = (-18 / 63) × 100% ≈ -28.6% (Decrease)

Note that the result is positive for a percent increase and negative for a percent decrease, but when stating the answer we use the absolute value and indicate whether it's an increase or a decrease.