Question

The cost in dollars of processing x pounds of sugarcane each day can be modeled by the cost function c(x).

a) c(x) = x²
b) c(x) = 2x + 5
c) c(x) = √x
d) c(x) = 0.5x

Answer 1

The cost function c(x) for processing x pounds of sugarcane can be represented as c(x) = 0.5x.

Step-by-step explanation:

The cost in dollars of processing x pounds of sugarcane each day can be modeled by the cost function c(x) in the form of c(x) = mx + b, where m represents the cost per pound and b represents the fixed cost. Among the given options, only option d) c(x) = 0.5x represents this form of the cost function.

For example, if the cost per pound is $0.5 and there is a fixed cost of $0, the cost of processing 10 pounds of sugarcane per day would be 0.5(10) + 0 = $5.