My grandmother needs to find the best company to deliver a package. Company A charges a fee of $14 plus $7 per pound. Company B charges a fee $15 plus $6 per pound. At what weight will the companies charge the same amount and what is the equivalent cost
To find the weight at which the companies will charge the same amount, we can set up an equation:
Company A: Cost = $14 + $7x (where x is the weight in pounds)
Company B: Cost = $15 + $6x
Setting the costs equal to each other:
$14 + $7x = $15 + $6x
$7x - $6x = $15 - $14
$x = $1
So at a weight of 1 pound, both companies will charge the same amount.
To find the equivalent cost:
For Company A:
Cost = $14 + $7(1) = $14 + $7 = $21
For Company B:
Cost = $15 + $6(1) = $15 + $6 = $21
Therefore, at 1 pound, both companies will charge $21.