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

Answer:

Option C)  1.06[7t + 0.75(15)]

Step-by-step 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 $\frac{6}{100}=0.06$. 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)]