Question

The cost of a sweatshirt at a sporting-goods store is n dollars. Sales tax is 8%. Which expressions represent the cost of a sweatshirt including sales tax? Drag each expression into the table to show whether or not it represents the cost of a sweatshirt including tax.

Answer 1

Answer:

Represents the cost of a sweatshirt including tax.​

$\begin{gathered} 1.08n \\ n+0.08n \end{gathered}$

Does not represents the cost of a sweatshirt including tax.​

$\begin{gathered} n+0.08 \\ 0.08n \\ n+1.08n \end{gathered}$

Explanation:

Given that the cost of a sweatshirt at a sporting-goods store is n dollars and the Sales tax is 8%.

So, the total cost including sales tax is;

$\begin{gathered} T=n+8\text{\% of n} \\ T=n+0.08n \\ T=1.08n \end{gathered}$

Only expressions that are equivalent to T above can represents the cost of a sweatshirt including tax.​

Therefore, we have;

Represents the cost of a sweatshirt including tax.​

$\begin{gathered} 1.08n \\ n+0.08n \end{gathered}$

Does not represents the cost of a sweatshirt including tax.​

$\begin{gathered} n+0.08 \\ 0.08n \\ n+1.08n \end{gathered}$