Question

The cost (in dollars) of a costume-made sweater is represented by 35.b+29.99, where n is the number of different colors in design. Write a simplified expression that represents the cost of 15 sweatshirts.

Answer 1

The simplified expression representing the cost of 15 custom-made sweatshirts, where 'n' is the number of colors in the design, is '525n + 449.85' dollars.

Step-by-step explanation:

The provided expression is '35.n + 29.99,' which represents the cost of a custom-made sweater, where n is the number of different colors in the design. To calculate the total cost of 15 custom-made sweatshirts, you would multiply this expression by 15:

1. Multiply the cost per sweatshirt by 15: 35.n × 15 + 29.99 × 15.
2. Distribute the 15 across each term to simplify: (35 × 15)n + (29.99 × 15).
3. Complete the multiplication: 525n + 449.85.

So, the simplified expression that represents the cost of 15 sweatshirts with n colors in the design would be 525n + 449.85 dollars.