Question

The cost of having a package delivered has a base fee of $10.80. Every pound over 5 lbs cost an additional $0.41 per pound. Write an equation that expresses the cost C in terms of w, the total weight in pounds of a package weighing over 5 lbs.

Answer 1

The required equation is
`C=10.80+0.41w`.

Explanation:

It is given that the cost of having a package delivered has a base fee of $10.80. Every pound over 5 lbs cost an additional $0.41 per pound.

Fixed cost is $10.80.

Variable cost is $0.41w, where w is the total weight in pounds of a package weighing over 5 lbs.

Total cost is the addition of fixed cost and variable cost.

`\text{Total cost}=\text{Fixed cost}+\text{Variable cost}`

`C=10.80+0.41w`

Where, C is expresses the cost C in terms of w, the total weight in pounds of a package weighing over 5 lbs.

Therefore the required equation is
`C=10.80+0.41w`.

Answer 2

C=10.8+(x-5)*0.41

Where x is the total weight of the package.