he cost of producing x bags of pretzels is modelled by C(x)=0.5x^2 + x + 2 where x=# of bags per hundred. State the function that represents the average cost.
Do you just have to factor it?
Average cost is C(x)/(100 x)
(since the number of bags is seems to be 100x). In your statement of the problem, if is unclear if x is the number of bags or the number of hundreds of bags.
To find the average cost, you need to divide the total cost by the number of bags produced.
Let's denote the average cost as A(x).
The total cost of producing x bags of pretzels is given by the function C(x) = 0.5x^2 + x + 2.
To find the average cost, you divide C(x) by x:
A(x) = C(x)/x
Substituting the value of C(x) into the equation:
A(x) = (0.5x^2 + x + 2)/x
Simplifying, we get:
A(x) = 0.5x + 1 + 2/x
Therefore, the function that represents the average cost is A(x) = 0.5x + 1 + 2/x.
To find the function that represents the average cost, we need to divide the total cost (C(x)) by the number of bags (x).
The average cost is calculated by the formula:
Average Cost = Total Cost / Number of Bags
In this case, the total cost is given by the function C(x) = 0.5x^2 + x + 2, and the number of bags is represented by x.
Therefore, the function that represents the average cost can be written as:
Average Cost function = C(x) / x
Substituting the given total cost function C(x) = 0.5x^2 + x + 2, the average cost function becomes:
Average Cost function = (0.5x^2 + x + 2) / x
This is the function that represents the average cost.