Question

Daria pays x dollars for a pair of shoes. The tax on shoes is 5%. The expression

representing her total cost is x +0.05x.
Which expression is equivalent and why?

1.5x because adding 5% to the cost of the shoes is the same as
multiplying the cost by 1.5.
1.05x because adding 5% to the cost of the shoes is the same as
multiplying the cost by 1.05.
0 x10.05) because the cost of the shoes can be factored out.
1.05x because adding $5 to the cost of the shoes is the same as
multiplying the cost by 1.05.

Answer 1

B. 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05.

Explanation:

Answer 2

B. 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05.

Explanation:

Cost of a pair of shoe = $x

Tax on shoes = 5% of x

= 0.05 x

The total cost of shoe = cost price + tax

= $x + 0.05x

= $1.05x

This means that she would pay 1.05 multiplied by the cost of the shoes.

Example, assume that the cost of the pairs of shoe is $20, then;

Total cost = 1.05 x 20

= $21.00

Thus, it can be inferred that adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05.