My grandmother needs to find the

Question

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

Answer 1

Let's represent the cost for company A as C_A and the cost for company B as C_B.

C_A = $14 + $7p (where p represents the weight in pounds)
C_B = $15 + $6p

To find the weight at which both companies charge the same amount, we can set C_A equal to C_B:

$14 + $7p = $15 + $6p

Subtract $14 from both sides:

$7p = $1 + $6p

Subtract $6p from both sides:

$p = $1

So, at 1 pound, both companies will charge the same amount.

To find the equivalent cost at 1 pound, we can substitute $1 for p in either of the cost equations. Let's use C_A:

C_A = $14 + $7(1)
C_A = $14 + $7
C_A = $21

Therefore, the equivalent cost for 1 pound is $21.

So, the answer is:

G. 1 pound for $21