Final answer:
The cost for each box of detergent produced by Super Suds is $0.75, which corresponds to the coefficient of the linear function C(x) = 0.75x + 3500. This cost represents the variable cost per unit, separate from the fixed costs. Without additional information, we cannot calculate the cost per ounce for different sizes or analyze the fit of the data.
Step-by-step explanation:
The total cost C(x) of producing x boxes of laundry detergent by Super Suds is represented by the linear function C(x) = 0.75x + 3500. To identify the cost for each box of detergent that Super Suds produces, we need to look at the variable that represents the cost per box, which in this linear equation is the coefficient of the x term.
So, the cost for each box of detergent that Super Suds produces is $0.75, as this is the coefficient in front of the x variable in the linear function. This represents the variable cost per unit, or the additional cost for each box produced, excluding the fixed costs which are represented by the constant term of 3500 dollars.
When considering the estimated cost for different sizes of laundry detergent, the cost can be determined by dividing the total cost C(x) by the number of ounces. There is no information provided to accurately calculate the costs per ounce for 40 oz. and 90 oz. sizes, or to draw any conclusions about the data fitting a line or if there are outliers present without the actual data values.