factory produces beach umbrellas. They have a fixed cost they must pay no matter how many abrellas they produce, and a variable cost they must pay for each umbrella they produce. The cost producing x umbrellas is modeled by the function C(x)=2.83x+1,350. Identify and interpret initial value. (1 point) The initial value of 1,350 represents the fixed cost. The initial value of 2.83 represents the variable cost. The initial value of 2.83 represents the fixed cost. The initial value of 1,350 represents the variable cost.

Answer 1

In the cost function \( C(x) = 2.83x + 1,350 \):

• The term \( 1,350 \) represents the fixed cost. This is the cost incurred regardless of the number of umbrellas produced, which means it is the cost when \( x = 0 \).
• The term \( 2.83 \) represents the variable cost per umbrella. This is the additional cost incurred for each umbrella produced.

Therefore, the correct interpretation of the initial value is:

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

Answer 2

The function f(x)=−75x+1,200 represents the value of your cell phone x months after you purchase it. Identify and interpret the initial value of the function.(1 point) Responses The initial value of 75 represents the monthly cost of your phone. The initial value of 75 represents the monthly cost of your phone. The initial value of 1,200 represents the monthly cost of your phone. The initial value of 1,200 represents the monthly cost of your phone. The initial value of 1,200 represents the value of your cell phone at the time you purchase it. The initial value of 1,200 represents the value of your cell phone at the time you purchase it. The initial value of 75 represents the value of your cell phone at the time you purchase it. The initial value of 75 represents the value of your cell phone at the time you purchase it.

Answer 3

In the function \( f(x) = -75x + 1,200 \):

• The term \( 1,200 \) is the initial value, which represents the value of your cell phone at the time of purchase (\( x = 0 \)).
• The term \( -75 \) indicates that the value of the cell phone decreases by \( 75 \) each month after purchase.

Therefore, the correct interpretation of the initial value is:

The initial value of 1,200 represents the value of your cell phone at the time you purchase it.