y-intercepts in Real-World Problems Quick Check

Question

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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 variable cost.
The initial value of 2.83 represents the variable cost.

The initial value of 1,350 represents the variable cost.
The initial value of 1,350 represents the variable cost.

The initial value of 2.83 represents the fixed cost.
The initial value of 2.83 represents the fixed cost.

The initial value of 1,350 represents the fixed cost.

Answer 1

The initial value of 1,350 represents the fixed cost. This is because the fixed cost is the cost that remains constant regardless of the number of umbrellas produced, just like the 1,350 in the function.