30 ounces of canned peas cost $3.00 and $1.50 for 15 ounces determine the unit rate of the proportional relationship.

Answer 1

To find the unit rate of the canned peas for both price options, we will calculate the cost per ounce for each.

1. For the 30 ounces at $3.00:

   \[ \text{Unit Rate} = \frac{\text{Total Cost}}{\text{Total Ounces}} = \frac{3.00}{30} = 0.10 \]

   This means it costs $0.10 per ounce.

2. For the 15 ounces at $1.50:

   \[ \text{Unit Rate} = \frac{\text{Total Cost}}{\text{Total Ounces}} = \frac{1.50}{15} = 0.10 \]

   This also means it costs $0.10 per ounce.

Both options have the same unit rate of $0.10 per ounce.

Answer 2

The proportional relationship between the cost of gasoline and the number of gallons of gasoline from Store A and Store B are displayed in the graphs. Use the graphs to interpret the store that has the cheaper cost of gasoline per gallon.

For store A it costs $20 for 5 gallons, 40 for 10 and 60 for 15. In store B it costs $14 for 4 gallons and $28 for 8 gallons
(1 point)
Responses

Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.

Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.

Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.

Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon

Answer 3

To determine which store has the cheaper cost of gasoline per gallon, let’s calculate the unit price (cost per gallon) for both stores based on the provided costs and quantities.

For Store A:

• Cost for 5 gallons: $20
• Cost for 10 gallons: $40
• Cost for 15 gallons: $60

Calculating cost per gallon for Store A:

• From 5 gallons: \[ \text{Cost per gallon} = \frac{20}{5} = 4 \]
• From 10 gallons: \[ \text{Cost per gallon} = \frac{40}{10} = 4 \]
• From 15 gallons: \[ \text{Cost per gallon} = \frac{60}{15} = 4 \]

So, the cost per gallon at Store A is $4.00 per gallon.

For Store B:

• Cost for 4 gallons: $14
• Cost for 8 gallons: $28

Calculating cost per gallon for Store B:

• From 4 gallons: \[ \text{Cost per gallon} = \frac{14}{4} = 3.50 \]
• From 8 gallons: \[ \text{Cost per gallon} = \frac{28}{8} = 3.50 \]

So, the cost per gallon at Store B is $3.50 per gallon.

Comparison:

• Store A: $4.00 per gallon
• Store B: $3.50 per gallon

Store B has the cheaper gasoline, as $3.50 is less than $4.00.

Correct Response:

Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.