Independent Practice

Question

Find the percent of change. Describe the percent of change as an increase or decrease. If necessary, round to the nearest tenth.

4.5 cm to 8.3 cm

A.
54.2% decrease

B.
84.4% increase

C.
84.4% decrease

D.
45.8% increase

Answer 1

To find the percent of change from 4.5 cm to 8.3 cm, we use the formula for percent change:

\[ \text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \]

1. Identify the old and new values:

   • Old Value = 4.5 cm
   • New Value = 8.3 cm

2. Substitute the values into the formula: \[ \text{Percent Change} = \frac{8.3 - 4.5}{4.5} \times 100 \]

3. Calculate the difference: \[ 8.3 - 4.5 = 3.8 \]

4. Now plug that value back into the formula: \[ \text{Percent Change} = \frac{3.8}{4.5} \times 100 \]

5. Calculate the division: \[ \frac{3.8}{4.5} \approx 0.8444 \]

6. Multiply by 100 to get the percentage: \[ 0.8444 \times 100 \approx 84.4% \]

Since the new value (8.3 cm) is greater than the old value (4.5 cm), this represents an increase.

So, the percent of change is 84.4% increase.

The correct answer is B. 84.4% increase.