Question

a store offers packing and mailing services to customers. the cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. which equation represents the shipping cost as a function of x, the weight in pounds?

• ( f(x) = 2.25x + 5 )
• ( f(x) = 5x + 2.25 )
• ( f(x) = 2.25x - 5 )
• ( f(x) = 5x - 2.25 )

Explanation:

Step1: Identify the components of the cost

The shipping cost has two parts: a flat packing fee of $5 (a constant) and a variable cost based on weight. The variable cost is $2.25 per pound, so for \( x \) pounds, it's \( 2.25x \).

Step2: Form the function

The total cost \( f(x) \) is the sum of the flat fee and the variable cost. So \( f(x)=2.25x + 5 \).

Answer:

A. \( f(x) = 2.25x + 5 \)