French Burton
08/16/2023 · Primary School
Heather paid \( \$ 2,022.30 \) for a computer. If the price paid includes a \( 7 \% \) sales tax, which of the following equations can be used to determine the price of the computer after tax? (Let \( x \) represent the cost of the computer and \( y \) represent the total cost after tax.) A. \( y=1.7 x \) B. \( y=0.93 x \) C. \( y=x+7 x \) D. \( y=1.07 x \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine the price of the computer after tax, we need to account for the sales tax added to the original price of the computer.
Let:
- \( x \) be the cost of the computer (before tax).
- \( y \) be the total cost after tax.
Since the sales tax is \( 7\% \), the total cost after tax can be expressed as:
\[
y = x + 0.07x
\]
This can be simplified to:
\[
y = 1.07x
\]
Thus, the correct equation that can be used to determine the price of the computer after tax is:
**D. \( y = 1.07 x \)**
Quick Answer
The correct equation is D. \( y = 1.07 x \).
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