To determine the slope of the cost function, it's essential to understand the structure of a linear equation. The general form of a linear equation is given by:
[tex]\[ C = mn + b \][/tex]
where:
- [tex]\( C \)[/tex] represents the total cost.
- [tex]\( n \)[/tex] is the number of T-shirts.
- [tex]\( m \)[/tex] is the slope of the function.
- [tex]\( b \)[/tex] is the y-intercept, representing fixed costs.
In this question, the cost function is:
[tex]\[ C = 9.90n + 1060 \][/tex]
To identify the slope, we look for the coefficient of [tex]\( n \)[/tex]. In this equation:
- The term [tex]\( 9.90n \)[/tex] represents the variable cost associated with each T-shirt, and thus the coefficient [tex]\( 9.90 \)[/tex] is the slope.
So, the slope of the cost function is:
[tex]\[ \text{\$} 9.90 \][/tex]
Given the choices:
A. \[tex]$10.60
B. \$[/tex]9.90
C. \[tex]$1060.00
D. \$[/tex]990.00
The correct answer is:
B. \$9.90
