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Question
A factory produces beach umbrellas. They have a fixed cost they must pay no matter how many umbrellas they produce, and a variable cost they must pay for each umbrella they produce. The cost of producing x
umbrellas is modeled by the function C(x)=2.83x+1,350
. Identify and interpret the initial value.(1 point)
Responses
The initial value of 2.83 represents the fixed cost.
The initial value of 2.83 represents the fixed cost.
The initial value of 2.83 represents the variable cost.
The initial value of 2.83 represents the variable cost.
The initial value of 1,350 represents the fixed cost.
The initial value of 1,350 represents the fixed cost.
The initial value of 1,350 represents the variable cost.
1 answer
In the function \( C(x) = 2.83x + 1,350 \), the initial value is the constant term, which is 1,350.
This represents the fixed cost, which is the cost incurred regardless of the number of umbrellas produced.
Therefore, the correct response is:
The initial value of 1,350 represents the fixed cost.
