Question

Margie and her sister wanted to purchase a bag of popcorn for movie night. They compared the prices and sizes of four bags of popcorn.

Pop-A-Lot Pop Kornz Pop-arazzi Kernels Popcorn
Size 9 ounces 5 ounces 15 ounces 7 ounces
Cost $4.32 $3.00 $8.25 $3.22


Part A: Calculate the corresponding unit rate for each package. (2 points)

Part B: Interpret what the unit rates found in Part A represent. (1 point)

Part C: Choose which package is the best buy. (1 point)

Answer 1

Step-by-step explanation and Answer:

Sure, let’s calculate the unit rate for each package. The unit rate is the cost per ounce of popcorn.

Part A:

Pop-A-Lot: The cost is 4.32for9ounces,sotheunitrateis\frac{4.32}{9} = $0.48$ per ounce.

Pop Kornz: The cost is 3.00for5ounces,sotheunitrateis\frac{3.00}{5} = $0.60$ per ounce.

Pop-arazzi: The cost is 8.25for15ounces,sotheunitrateis\frac{8.25}{15} = $0.55$ per ounce.

Kernels Popcorn: The cost is 3.22for7ounces,sotheunitrateis\frac{3.22}{7} = $0.46$ per ounce.

Part B:

The unit rates calculated in Part A represent the cost of one ounce of popcorn for each brand. It helps us understand how much we’re paying for each ounce of popcorn, which allows us to compare the value offered by different brands.

Part C:

Looking at the unit rates, the Kernels Popcorn is the best buy because it has the lowest cost per ounce at $0.46.

Answer 2

The unit rate is calculated by dividing the cost by the size in ounces. Kernels Popcorn has the lowest unit rate, at $0.46 per ounce, making it the best buy for Margie and her sister.

Step-by-step explanation:

To determine which package of popcorn Margie and her sister should purchase, we must calculate the unit rate for each package. The unit rate can be found by dividing the cost of the package by the number of ounces it contains. Here are the calculations:

• Pop-A-Lot: $4.32 / 9 ounces = $0.48 per ounce
• Pop Kornz: $3.00 / 5 ounces = $0.60 per ounce
• Pop-arazzi: $8.25 / 15 ounces = $0.55 per ounce
• Kernels Popcorn: $3.22 / 7 ounces = $0.46 per ounce

The unit rates represent the cost of popcorn per ounce. This allows us to fairly compare the cost of popcorn packages of different sizes.

Considering the unit rates, Kernels Popcorn offers the best value at $0.46 per ounce. Therefore, Margie and her sister should choose the Kernels Popcorn package for their movie night as it offers the lowest cost per ounce.