Question

a shipping company charges x dollars to ship a package that weighs up to 1 pound and an additional fee based on the additional weight of the package. write and simplify an expression that represents the total cost of shipping 2 packages that each weigh 0.75 pound, 3 packages that each weigh 2.5 pounds, and 1 package that weighs 4.2 pounds.

Answer 1

Let the additional fee , the shipping company charges be $y .

So for 0.75 pounds, since the weight is less then 1 pound, company charge = $2x

For 3 packages with weigh 2.5 pounds, company charge 3* ( x+(2.5-1)*y )

= 3x+4.5y

For package with weighs 4.2 pounds, company charge x+(4.2-1)y = x+3.1y

So the total amount , company charge = 2x +3x +4.5y +x+3.1y

=6x +7.6y