Question

an employee worked 52.1 hours and makes $6.05 per hour. find the gross pay of the employee.

the gross pay of the employee is $\square.
(round to the nearest cent as needed.)

Explanation:

Step1: Recall the formula for gross pay

Gross pay is calculated by multiplying the number of hours worked by the hourly rate. So the formula is \( \text{Gross Pay} = \text{Hours Worked} \times \text{Hourly Rate} \).

Step2: Substitute the given values into the formula

We know that the hours worked is \( 52.1 \) and the hourly rate is \( \$6.05 \) per hour. So we calculate \( 52.1\times6.05 \).

First, multiply \( 52.1 \) and \( 6.05 \):
\[

$$\begin{align*} 52.1\times6.05&=(52 + 0.1)\times(6+0.05)\\ &=52\times6+52\times0.05 + 0.1\times6+0.1\times0.05\\ &= 312+2.6+0.6 + 0.005\\ &=312 + 3.2+0.005\\ &=315.205 \end{align*}$$

\]

Step3: Round to the nearest cent

Since we need to round to the nearest cent (two decimal places), we look at the third decimal place. The number \( 315.205 \) has a third decimal digit of \( 5 \), so we round up the second decimal place. So \( 315.205\approx315.21 \).

Answer:

\( 315.21 \)