Question
Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on
sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle.
To represent his total cost, Leon writes the expression shown.
1.05(x−0.2x)
Which expression also represents Leon’s total cost? 7.PAFR.3.3
0.79x
0.84x
0.85x
0.21x
Answers
GPT-4o mini
To find an expression that represents Leon's total cost, let's break down the expression he wrote:
1.05(x - 0.2x).
First, simplify the expression inside the parentheses:
\[
x - 0.2x = 0.8x
\]
So, the expression becomes:
\[
1.05 \times 0.8x
\]
Now, we multiply these together:
\[
1.05 \times 0.8 = 0.84
\]
Thus, the total cost can be represented as:
\[
0.84x
\]
Among the options provided, the correct expression that also represents Leon’s total cost is:
**0.84x**.
1.05(x - 0.2x).
First, simplify the expression inside the parentheses:
\[
x - 0.2x = 0.8x
\]
So, the expression becomes:
\[
1.05 \times 0.8x
\]
Now, we multiply these together:
\[
1.05 \times 0.8 = 0.84
\]
Thus, the total cost can be represented as:
\[
0.84x
\]
Among the options provided, the correct expression that also represents Leon’s total cost is:
**0.84x**.