Question
The cost of shipping is a combination of a flat packing fee of $3 and $1.50 per pound based on the weight of the box.
f(x)=mx+b
f(x)=mx+b
Answers
GPT-4o mini
The cost of shipping can be modeled with a linear function of the form \( f(x) = mx + b \), where:
- \( f(x) \) is the total cost of shipping,
- \( m \) is the variable cost per pound,
- \( x \) is the weight of the box in pounds,
- \( b \) is the fixed flat packing fee.
In your case:
- The flat packing fee, \( b \), is $3.
- The cost per pound, \( m \), is $1.50.
Thus, the function for the shipping cost would be:
\[
f(x) = 1.5x + 3
\]
Where:
- \( f(x) \) represents the total shipping cost,
- \( x \) is the weight of the box in pounds.
This linear equation can be used to calculate the total shipping cost for any given weight \( x \).
- \( f(x) \) is the total cost of shipping,
- \( m \) is the variable cost per pound,
- \( x \) is the weight of the box in pounds,
- \( b \) is the fixed flat packing fee.
In your case:
- The flat packing fee, \( b \), is $3.
- The cost per pound, \( m \), is $1.50.
Thus, the function for the shipping cost would be:
\[
f(x) = 1.5x + 3
\]
Where:
- \( f(x) \) represents the total shipping cost,
- \( x \) is the weight of the box in pounds.
This linear equation can be used to calculate the total shipping cost for any given weight \( x \).