Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on

Question

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

Answer 1

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.