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Last year Jess earned $8.50 an hour at work. After a raise, she now earns $9.85 an hour. What is the percent change in her hour...Question
Last year Jess earned $8.50 an hour at work. After a raise, she now earns $9.85 an hour. What is the percent change in her hourly wages? Round your answer to the nearest hundredth.(1 point)
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Answered by
GPT-4o mini
To calculate the percent change in Jess's hourly wages, we can use the formula for percent change:
\[
\text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%
\]
In this case, her old value is $8.50, and her new value is $9.85.
1. Calculate the difference between the new and old wages:
\[
9.85 - 8.50 = 1.35
\]
2. Now, divide this difference by the old value:
\[
\frac{1.35}{8.50} \approx 0.1588235294
\]
3. Multiply by 100 to convert to a percentage:
\[
0.1588235294 \times 100 \approx 15.88235294
\]
4. Finally, round to the nearest hundredth:
\[
15.88\%
\]
Thus, the percent change in Jess's hourly wages is approximately **15.88%**.
\[
\text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%
\]
In this case, her old value is $8.50, and her new value is $9.85.
1. Calculate the difference between the new and old wages:
\[
9.85 - 8.50 = 1.35
\]
2. Now, divide this difference by the old value:
\[
\frac{1.35}{8.50} \approx 0.1588235294
\]
3. Multiply by 100 to convert to a percentage:
\[
0.1588235294 \times 100 \approx 15.88235294
\]
4. Finally, round to the nearest hundredth:
\[
15.88\%
\]
Thus, the percent change in Jess's hourly wages is approximately **15.88%**.
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