Question

Candy's Sweets Company charges $1.15 per pound to ship candy.

Part A: Write an equation to determine the total cost, c, to ship p pounds of candy. Use your equation to determine the cost of shipping 2 pounds of candy. (6 points)
Part B: If the company reduces the cost to ship candy by $0.25 per pound, write an equation to determine the total cost, c, to ship p pounds of candy with the reduced cost. (4 points)

Answer 1

Part A: c = 1.15p

c = 1.15(2) c = 2.30

Part B: c = 0.9p

c = 0.9(4) c = 3.60

Answer 2

Part A: c = 1.15p; The cost of shipping 2 pounds of candy is $2.30.

Part B: c = 0.9p

Explanation:

Part A:

$1.15 --- 1 pound

$1 --- 1.15 pounds

Replace the money sign with c (since c represents the total cost) and replace pounds with p (since p represents pounds of candy)

c = 1.15p

We can then use this equation to find the c (cost) for 2p (2 pounds).

c = 1.15(2)

= 2.30

Thus, the cost of shipping 2 pounds of candy is $2.30.

Part B:

$1.15 - $0.25 --- 1 pound

$0.90 --- 1 pound

$1 --- 0.9 pound

Replace the money sign with c (since c represents the total cost) and replace pounds with p (since p represents pounds of candy)

c = 0.9p