Dillon pays x dollars to get a haircut. He gives the stylist a 10% tip. The expression representing his total cost is x + 0.1x

Question

1. 1.1x because adding $10 to the haircut is the same as multiplying the cost by 1.1.
2. 1.01x because adding 10% to the cost of the haircut is the same as multiplying the cost by 1.01.
3. x(0.1) because the cost of the haircut can be factored out.
4. 1.1x because adding 10% to the cost of the haircut is the same as multiplying the cost by 1.1.

Answer 1

To determine the total cost Dillon pays for the haircut including the tip, we start with the expression \(x + 0.1x\), which represents the cost of the haircut plus the tip.

1. The tip is 10% of the haircut cost, which can be expressed as \(0.1x\).
2. Therefore, the total cost can be simplified as: \[ x + 0.1x = 1x + 0.1x = 1.1x. \]

Now, analyzing the answer choices:

1. 1.1x because adding $10 to the haircut is the same as multiplying the cost by 1.1. (This is incorrect because it's about the tip, not just adding $10.)
2. 1.01x because adding 10% to the cost of the haircut is the same as multiplying the cost by 1.01. (This is incorrect since 10% is 0.1, not 0.01.)
3. x(0.1) because the cost of the haircut can be factored out. (This is incorrect because it only represents the tip, not the total cost.)
4. 1.1x because adding 10% to the cost of the haircut is the same as multiplying the cost by 1.1. (This is correct.)

Thus, the correct answer is:

4. 1.1x because adding 10% to the cost of the haircut is the same as multiplying the cost by 1.1.