dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. The expression representing the total cost is x + 0.15x

Question

1 of 4 QUESTIONS
because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.015.
because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.
because adding $15 to the haircut is the same as multiplying the cost by 1.15.
because the cost of the haircut can be factored out.

Answer 1

The correct reasoning for the total cost of Dillon's haircut, including the tip, is:

because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.

Here's why:

• The cost of the haircut is \( x \).
• The tip is 15% of \( x \), which is \( 0.15x \).
• The total cost is the sum of the cost of the haircut and the tip, which can be expressed as \( x + 0.15x \).
• This can also be factored as \( x(1 + 0.15) = x(1.15) \).

Thus, the total cost including the tip can also be represented as \( 1.15x \).