Questions: After a raise, Jocelyn's salary increased from 37,000 annually to 38,739. Find the percent increase.

Solution Steps

To find the percent increase in Jocelyn's salary, we need to calculate the difference between the new salary and the old salary, then divide that difference by the old salary, and finally multiply by 100 to convert it to a percentage.

The initial salary is \( \$37,000 \) and the new salary is \( \$38,739 \).

The difference between the new salary and the old salary is: \[ \text{Difference} = \$38,739 - \$37,000 = \$1,739 \]

To find the percent increase, divide the difference by the old salary and multiply by 100: \[ \text{Percent Increase} = \left( \frac{\$1,739}{\$37,000} \right) \times 100 \]

Perform the division and multiplication: \[ \text{Percent Increase} = \left( \frac{1,739}{37,000} \right) \times 100 \approx 4.7\% \]

Final Answer