Math 7B. Pattering and Algebraic Reasoning. Spring25 Sample work

Question 7
Jerome purchased a shirt that costs d dollars. The total cost of the shirt, including a sales tax of 5%, can be represented by the expression 1.05d.
Which expression can also be used to represent the total cost of the shirt, including a sales tax of 5%?
d + 0.05d
d - 0.05d
d + 1.05d
d - 1.05d

1 answer

To find an expression that represents the total cost of the shirt including a 5% sales tax, we start with the original price of the shirt, which is \( d \) dollars.

The sales tax is 5% of \( d \), which can be calculated as \( 0.05d \). Therefore, the total cost of the shirt with tax can be expressed as:

\[ d + 0.05d \]

This expression combines the original price of the shirt \( d \) and the sales tax \( 0.05d \).

Now, simplifying this expression:

\[ d + 0.05d = 1d + 0.05d = 1.05d \]

Thus, the expression that can also be used to represent the total cost of the shirt, including the sales tax of 5%, is:

\[ d + 0.05d \]

So the correct answer is:

d + 0.05d