What is the percent of change from 30 to 42 ? $$ 40 \% $$ increase $$ 40 \% $$ decrease $$ 45 \% $$ increase decrease

Question

UpStudy AI · Accepted Answer

To find the percent of change from 30 to 42, we can use the formula for percent change:

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

Here, the old value is 30 and the new value is 42. Let's calculate it step by step.

1. **Calculate the difference between the new value and the old value:**
   $$
   \text{Difference} = 42 - 30 = 12
   $$

2. **Divide the difference by the old value:**
   $$
   \frac{12}{30}
   $$

3. **Multiply by 100 to get the percent change:**
   $$
   \text{Percent Change} = \frac{12}{30} \times 100
   $$

Now, let's perform the calculations.

First, calculate $$\frac{12}{30}$$:

$$
\frac{12}{30} = 0.4
$$

Now, multiply by 100:

$$
0.4 \times 100 = 40
$$

Thus, the percent of change from 30 to 42 is $$40\%$$ increase.

The correct answer is:
- $$40 \%$$ increase.
The percent of change from 30 to 42 is a $$40\%$$ increase.

What is the percent of change from 30 to 42 ? \( 40 \% \) increase \( 40 \% \) decrease \( 45 \% \) increase decrease