Question

What is the percent of increase from 75 to 110?
Responses

68.2%
68.2%

46.7%
46.7%

31.8%
31.8%

18.9%
18.9%

Answer 1

To calculate the percent increase from 75 to 110, we can use the formula:

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

Plugging in the values:

\[
\text{Percent Increase} = \left( \frac{110 - 75}{75} \right) \times 100
\]

Calculating the difference:

\[
110 - 75 = 35
\]

Now substituting back into the formula:

\[
\text{Percent Increase} = \left( \frac{35}{75} \right) \times 100
\]

Calculating the division:

\[
\frac{35}{75} = 0.4667
\]

Now, multiplying by 100 to get the percentage:

\[
0.4667 \times 100 = 46.67\%
\]

Rounded to one decimal place, the percent increase from 75 to 110 is approximately **46.7%**.

So the correct response is:

**46.7%**