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

Answer 1

The correct interpretation is:

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

In the cost function \( C(x) = 2.83x + 1,350 \), the term 1,350 is the constant that represents the fixed cost, which is incurred regardless of the number of beach umbrellas produced. The term 2.83 is the variable cost per umbrella produced.