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\1 of 4

Question

1. 1.015x because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.015.
2. 1.15x because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.
3. 1.15x because adding $15 to the haircut is the same as multiplying the cost by 1.15.
4. x(0.15) because the cost of the haircut can be factored out.

Answer 1

To find the total cost Dillon pays for the haircut including the tip, we start with the expression for the haircut and the tip combined.

1. The cost of the haircut is \( x \).
2. The tip is 15% of \( x \), which can be expressed as \( 0.15x \).

The total cost including the tip is:

\[ x + 0.15x = 1x + 0.15x = 1.15x \]

Now, let's look at the response options you've provided:

1. 1.015x because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.015.
   This is incorrect because 1.015 represents adding only 1.5% (not 15%).

2. 1.15x because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.
   This is correct; adding 15% to the cost corresponds to multiplying by 1.15.

3. 1.15x because adding $15 to the haircut is the same as multiplying the cost by 1.15.
   This is incorrect; adding $15 is not the same as adding 15%.

4. x(0.15) because the cost of the haircut can be factored out.
   This is incorrect; \( x(0.15) \) only represents the tip, not the total cost.

Therefore, the correct expression representing the total cost is option 2: 1.15x.