Question

Stephanie wants to buy tomato plants and a shovel. Each tomato plant costs $7 and the shovel costs $15. Stephanie will use a coupon for 25% off the cost of the shovel. Sales tax is 6%. ​Which expression represents the total cost of Stephanie's purchase? A 1.06[0.75(7t + 15)] B 1.6[0.75(7t + 15)] C 1.06[7t + 0.75(15)] D 1.6[7t + 0.75(15)]

Answer 1

Option C) 1.06[7t + 0.75(15)]

Explanation:

Lets analyse the given information and 'build-up' our equation step-by-step.

Each plant costs $7 dollars, and Stephani will be buying a few plants. So we can name the number of plants as
`t`, therefore we have our first term of our general expression (
`y` ) as:

`y=7t`

Stephanie will buy one shovel that costs $15 dollars, thus our expression now becomes:

`y=7t+15`

Now she will be using a coupon of 25% off the cost of the shovel. Therefore the actual cost Stephanie will be paying is
`(100-25)`%
`=75`%. Thus our expression will be

`y=7t+(0.75)15`

Finally we know there is a Sales Tax of
`6`% which is equivalent to
`(6)/(100)=0.06`. Now considering you have a general amount
`A`, the Sales Tax is applied as follow:
`(1) A+ (0.06)A=1.06A`. Similarly then in our case and with the sales tax applied we have:

`y=[7t+(0.75)15]+0.06[7t+(0.75)15]\\\\y=1.06 [7t+(0.75)15]`

Thus the correct option is Option C. 1.06[7t + 0.75(15)]