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A worker earns [tex]$27.50$[/tex] per hour. If she receives a [tex]$7 \frac{1}{2} \%$[/tex] pay raise, what is the amount of her hourly raise?

The amount of her hourly raise is [tex]$\$[/tex][tex]$ $[/tex]\square$

(Round to the nearest cent as needed.)


Sagot :

To determine the amount of the hourly raise, follow these steps:

1. Identify the current hourly wage: The worker currently earns [tex]\(\$27.50\)[/tex] per hour.

2. Convert the percentage to a decimal: The pay raise is given as [tex]\(7 \frac{1}{2} \%\)[/tex]. To convert this percentage into a decimal:
[tex]\[ 7 \frac{1}{2} \% = 7.5\% = \frac{7.5}{100} = 0.075 \][/tex]

3. Calculate the hourly raise: Multiply the current hourly wage by the decimal form of the percentage raise to find the increase in the hourly wage.
[tex]\[ \text{Hourly Raise} = 27.50 \times 0.075 \][/tex]

4. Perform the multiplication:
[tex]\[ 27.50 \times 0.075 = 2.0625 \][/tex]

5. Round to the nearest cent: Since financial calculations are generally rounded to the nearest cent, round [tex]\(2.0625\)[/tex] to the nearest hundredth.
[tex]\[ 2.0625 \approx 2.06 \][/tex]

Thus, the amount of her hourly raise is [tex]\(\$2.06\)[/tex].