Question
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%?
(1 point)
Responses
d+0.05d
d−0.05d
d+1.05d
d−1.05d
Which expression can also be used to represent the total cost of the shirt, including a sales tax of 5%?
(1 point)
Responses
d+0.05d
d−0.05d
d+1.05d
d−1.05d
Answers
GPT-4o mini
To calculate the total cost of the shirt, including a 5% sales tax, we can break it down as follows:
1. The cost of the shirt is \( d \).
2. The sales tax is 5% of \( d \), which is \( 0.05d \).
Therefore, the total cost of the shirt including the tax can be summarized as:
\[
\text{Total cost} = d + 0.05d
\]
This simplifies to:
\[
\text{Total cost} = 1d + 0.05d = 1.05d
\]
So the expression that can also represent the total cost of the shirt, including a sales tax of 5%, is:
\[
d + 0.05d
\]
Thus, the correct answer is:
**d + 0.05d**.
1. The cost of the shirt is \( d \).
2. The sales tax is 5% of \( d \), which is \( 0.05d \).
Therefore, the total cost of the shirt including the tax can be summarized as:
\[
\text{Total cost} = d + 0.05d
\]
This simplifies to:
\[
\text{Total cost} = 1d + 0.05d = 1.05d
\]
So the expression that can also represent the total cost of the shirt, including a sales tax of 5%, is:
\[
d + 0.05d
\]
Thus, the correct answer is:
**d + 0.05d**.