17. 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 of $15 plus $6 per pound. At what weight will the companies charge the same amount and what is the equivalent cost? F. 2 pounds for $28 G. 1 pound for $21 H. 0.5 pound for $18
To find the weight at which the companies charge the same amount, we can set up an equation based on the cost for each company:
Company A: Cost = $14 + $7 * weight
Company B: Cost = $15 + $6 * weight
Setting the costs equal to each other:
$14 + $7 * weight = $15 + $6 * weight
$14 + $7 * weight = $15 + $6 * weight
$1 = $1 * weight
weight = 1 pound
So the companies will charge the same amount for 1 pound.
Substitute weight = 1 into the equation to find the equivalent cost:
Company A: $14 + $7 * 1 = $14 + $7 = $21
Company B: $15 + $6 * 1 = $15 + $6 = $21
Therefore, the equivalent cost is 1 pound for $21, which corresponds to option G.