Last year Jess earned $8.50

$
8.50
an hour at work. After a raise, she now earns $9.85
$
9.85
an hour. What is the percent change in her hourly wages? Round your answer to the nearest hundredth.(1 point)
Responses

15.88%
15.88
%
15 point 8 8 percent

0.1371%
0.1371
%
0 point 1 3 7 1 percent

0.1588%
0.1588
%
0 point 1 5 8 8 percent

13.71%

1 answer

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 Jess's case:

  • Old Value (initial wage) = $8.50
  • New Value (wage after raise) = $9.85

Now, we can plug the values into the formula:

\[ \text{Percent Change} = \frac{9.85 - 8.50}{8.50} \times 100 \]

Calculating the difference:

\[ 9.85 - 8.50 = 1.35 \]

Now, substituting back into the percent change formula:

\[ \text{Percent Change} = \frac{1.35}{8.50} \times 100 \]

Calculating the division:

\[ \frac{1.35}{8.50} \approx 0.158823529 \]

Now, multiplying by 100 to convert to a percent:

\[ 0.158823529 \times 100 \approx 15.8823529 \]

Rounding to the nearest hundredth:

\[ 15.88% \]

Therefore, the percent change in Jess's hourly wages is 15.88%.