Question

17. A store charges 7% sales tax. Suppose an item in the store has a price of p dollars. Write a simplified expressionto represent the total cost of an item in the store.

Answer 1

The pice of the item is given as p

And the sales tax is 7% of the price

The total cost is equal to the price p plus the sales tax.

`\text{Total cost = Price p + Sales tax }\rightarrow\text{equation 1}`

Sales tax equals 7% of the price which is 7% of p.

`\begin{gathered} \text{Sales tax = 7\% of p = }(7)/(100)* p \\ \text{Sales tax = 0.07p} \end{gathered}`

And price = p.

substituting into the equation 1, we have;

`\begin{gathered} Total\text{ cost = Price + sales tax = p + 0.07p} \\ \text{Total cost = 1.07p dolars} \end{gathered}`

Let C represent the total cost of an item.

Therefore, the simplified expression to represent the total cost of an item in the store is;