Question

Mike is shopping for new clothes. He has a coupon for 20% off of his total purchase. His purchase price before the discount is $68. Let T represent the total cost after the discount. Which equation can be written to model this scenario? Select all that apply.68-0.2(68) = T68 - .20 =T68-20 = T0.8(68) = T0.2(68) =T

Answer 1

68 - 0.2(68) = T

0.8(68) = T

Step-by-step explanation

The coupon allows for 20% off of his total purchase.

His purchase price before the discount is $68.

To find the price after the discount, we can use two methods:

=> Find 20% of $68 and then subtract from $68 to get T.

That is:

`\begin{gathered} 68\text{ - (}(20)/(100)\cdot\text{ 68) = T} \\ \Rightarrow\text{ 68 - 0.2(68) = T} \end{gathered}`

=> Subract 20% from a total of 100% and then multiply by $68 to get T.

That is:

`\begin{gathered} (100\text{ - 20)\% }\cdot\text{ 68 = T} \\ \Rightarrow\text{ 80\% }\cdot\text{ 68 = T} \\ \Rightarrow\text{ 0.8(68) = T} \end{gathered}`

Those are the two answers.