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.
witch expression is equivalent and why?
A 1.05x because adding $5 to the cost of the shoes is the same as multiplying the cost by 1.05
B 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05
C x(0.05) because the cost of the shoes can be factored out
D 1.5x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.5

Answer 1

The expression which represents Daria's total cost is; 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05

Percentage

• Amount paid for shoes = $x
• Tax = 5%

Total cost = x + (5% of x)

= x + (0.05 × x)

= x + (0.05x)

Total cost = 1.05x

Therefore, the correct answer is; 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05

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