Q64. - Algebra 2

Question

Use the information below and in the table.

Andrea works as a hostess in a restaurant and is paid every two weeks.

Find the mean or average number of hours Andrea worked each day, to the nearest tenth of an hour. Then use this average to predict her pay for a two-week pay period. Her hourly wage is $6.5

Step-by-Step Solution

Answer

Mean number of hours worked are

3.6 hours and pay for two-week pay period is $\$327.60$

Step 1 - Observations from image

From given image, number of hours worked on

• Monday is 0,
• Tuesday is 4.5, 
• Wednesday is 0,
• Thursday is 4.25, 
• Friday is 5.25, 
• Saturday is 6.5, and
• Sunday is 5.0 

Step 2 - Find mean

To evaluate mean ($\overline{x}$) number of hours person A worked each day, add the numbers of hours she worked in a week then divide it by number of days of a week.

$\begin{array}{c}\overline{x}=\frac{0+4.5+0+4.25+5.25+6.5+5.0}{7}\\ =3.6\text{ hours}\end{array}$

Step 3 - Evaluate pay for two-week pay period

To evaluate her pay for two-week pay period, first multiply her daily mean number of hours she worked with number of days in two weeks then multiply it with amount she earns per hour as shown below

$\begin{array}{c}A=\left(3.6\times 14\right)\times 6.50\\ A=50.4\times 6.50\\ A=327.60\end{array}$

Thus, she will earns $\$327.60$ in a two-week pay period.