Q11. - Algebra 1

Question

Shannon bought a satellite radio and a subscription to satellite radio. What is the total cost for his first year of service?

 

Item	Cost
radio	$\mathbf{\backslash (}\mathbf{39}\mathbf{.}\mathbf{99}$
subscription	$\mathbf{\backslash )}\mathbf{11}\mathbf{.}\mathbf{99}$ per month

Step-by-Step Solution

Answer

The total cost for first year service is $\mathbf{\$}\mathbf{183}\mathbf{.}\mathbf{87}$.

Step 1. Define ‘Total cost’.

The sum of all the cost incurred in purchasing or manufacturing a product is the total cost of the product.

Step 2. Calculate the total cost for the first year service.

Observe the table given below.

Item	Cost
radio	$\$39.99$
subscription	$\$11.99$ per month

From the table, 

The cost of satellite radio is $\$39.99$.

The cost of subscription of satellite radio per month is $\$11.99$.

In a year there are 12 months.

 $\begin{array}{r}\text{Therefore, cost of subscription for 1 year (12 months)}=12\times 11.99\\ =\$143.88\end{array}$

$\begin{array}{r}\text{Total\hspace{0.17em}\hspace{0.17em}cost=Cost\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}satellite\hspace{0.17em}\hspace{0.17em}radio+cost\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}subscription\hspace{0.17em}\hspace{0.17em}for\hspace{0.17em}\hspace{0.17em}1\hspace{0.17em}\hspace{0.17em}year}\\ =39.99+143.88\\ =\$183.87\end{array}$

Step 3. State the conclusion.

Therefore, the total cost for first year service is $\$183.87$.