Question

Tees for teens is a store that sells shirts. The graph below represents the total cost per shirt based on the number of colors in the design. Which of these equations represents the relationship between the cost per shirt (s) and the number of colors (c)?

1) s = 0.75c + 5
2) s = 1.5c + 5
3) s = 5c + 0.75
4) s = 5c + 3

Answer 1

The correct equation that represents the relationship between the cost per shirt (s) and the number of colors (c) is s = 0.75c + 5 (option 1).

Step-by-step explanation:

The correct equation that represents the relationship between the cost per shirt (s) and the number of colors (c) is option 1) s = 0.75c + 5.

To understand why this equation is correct, let's analyze it step by step:

1. The coefficient of c in the equation is 0.75, which means that for each additional color in the design, the cost per shirt increases by $0.75.
2. The constant term 5 represents the base cost of the shirt, independent of the number of colors. This suggests that even if there are no colors in the design, the cost per shirt would still be $5.

Therefore, the equation s = 0.75c + 5 accurately represents the relationship between the cost per shirt and the number of colors in the design.