Question

Hotel RATES A traveler checks into a hotel on Friday and checks out the following Tuesday morning. Use the table to find the total cost of the room including tax.

Short answer

The total cost of the room including tax is $291.

Step-by-step solution

– Write the given information 

The table of the cost of the hotel rooms is:

Hotel Rates Per Day
Day	Room Charge	Sales Tax
Monday-Friday	$72	$5.40
Saturday-Sunday	$63	$5.10

Traveler checks in on Friday and checks out the following Tuesday, i.e. he stays in hotel for two weekdays(Friday and Monday) and two weekends(Saturday and Sunday).

–Find the total cost

To find the total cost add the room charges and sales tax for week days and weekends from the given table, as:

$\begin{array}{c}\text{Totalcost}=\left(\begin{array}{l}\text{weekdayscharges}\\ \text{fortwodays}\end{array}\right)+\left(\begin{array}{l}\text{weekendcharges}\\ \text{fortwodays}\end{array}\right)\\ =2\times \left(\$72+\$5.40\right)+2\times \left(\$63+\$5.10\right)\\ =2\times \$77.4+2\times \$68.10\\ =\$154.8+\$136.2\\ =\$291\end{array}$

Thus, the total cost of the room including tax is $291.