Question

A candy company sells peanut brittle and almond bark. The information for both types of candy is shown

Almond Bark
Weight (ounces) 5 10 15
Cost (dollars) 8 16 24


Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.38 more per ounce than peanut brittle.
Peanut brittle costs $0.38 more per ounce than almond bark.
Almond bark costs $0.60 more per ounce than peanut brittle.
Peanut brittle costs $0.60 more per ounce than almond bark.

Answer 1

Almond bark costs $0.38 more per ounce than peanut brittle.

Step-by-step explanation:

To determine how much more one candy costs per ounce than the other candy, we need to compare the cost per ounce for almond bark and peanut brittle. We can use the given information to calculate the cost per ounce for each type of candy.

For almond bark, the cost for a 5-ounce package is $8, for a 10-ounce package is $16, and for a 15-ounce package is $24. So, the cost per ounce for almond bark is $8/5 = $1.60 per ounce, $16/10 = $1.60 per ounce, and $24/15 = $1.60 per ounce.

For peanut brittle, we are given that almond bark costs $0.38 more per ounce than peanut brittle. Therefore, the cost per ounce for peanut brittle must be $1.60 - $0.38 = $1.22.

Answer 2

The difference in the cost of the candies, using a proportional relationship, is given by the following option:

Peanut brittle costs $0.60 more per ounce than almond bark.

What is a proportional relationship?

A direct proportional relationship is defined when the output variable y is calculated with the multiplication of the input variable x and the constant of proportionality r as follows:

y = rx.

In the context of this problem, the variables are defined as follows:

Variable y: cost of the candy.

Variable x: weight of the candies.

Constant r: cost of each ounce.

For Peanut Brittle, the cost per ounce is given as follows:

r = 10/10 = $1.

For Almond Bark, the cost per ounce is given as follows:

r = 8/5 = $1.6.

The difference of these costs is given as follows:

1.6 - 1 = $0.6.

Hence the correct option is given as follows:

Peanut brittle costs $0.60 more per ounce than almond bark.

Step-by-step explanation: