Q16. - Algebra 1

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.

Step-by-Step Solution

Answer

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

Step 1 – 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). 

Step 2 –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:

$\begin{array}{c}\text{Total cost}=\left(\begin{array}{l}\text{weekdays charges}\\ \text{for two days}\end{array}\right)+\left(\begin{array}{l}\text{weekend charges}\\ \text{for two days}\end{array}\right)\\ =2\times \left(\$72+\$5.40\right)+2\times \left(\$63+\$5.10\right)\\ =2\times \$77.4+2\times \$68.10\\ =\$154.8+\$136.2\\ =\$291\end{array}$

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