Question

Sam is shopping for clothes. There's a 9% sales tax where he lives. Select the expression that gives the price of clothes after including the sales tax, where c is the original cost of the clothes.Question 9 options:1c + 0.9c1.09c1.09c + 0.09c1.9c

Answer 1

To answer this question, we have that the cost of the item is represented by c, and we need to add to this cost the 9% sales tax.

Therefore, to find the expression that gives the price of clothes after including the sales tax is as follows:

• The 9% sales tax is given by:

`\begin{gathered} 9\%=(9)/(100)=0.09 \\ (9)/(100)c=0.09c \end{gathered}`

We can see that the tax is 9% of the cost of the clothes. Now, we have to add this tax to the original cost. If the original cost of the clothes is c, then we have:

`\begin{gathered} P=c+0.09c \\ P=c(1+0.09) \\ P=c(1.09) \\ P=1.09c_{} \end{gathered}`

Therefore, in summary, the expression that gives the price of clothes after including the sales tax is:

`P=1.09c`

[Second option.]