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Question
Candy Lane
Amount (Pounds) Price ($)
1 8
2 16
3 24
4 32

The cost for fudge at Sweet Treats is represented by y = 4x, where y is the price paid for x pounds. The table shows the cost of a similar fudge that Candy Lane sells.

Which statement is TRUE when comparing the stores' prices?
Responses
A The unit rate for fudge at Sweet Treats is twice the unit rate at Candy Lane.The unit rate for fudge at Sweet Treats is twice the unit rate at Candy Lane.
B The unit rate for fudge at Candy Lane is equal to the unit rate at Sweet Treats.The unit rate for fudge at Candy Lane is equal to the unit rate at Sweet Treats.
C The unit rate for fudge at Candy Lane is twice as much as the unit rate at Sweet Treats.The unit rate for fudge at Candy Lane is twice as much as the unit rate at Sweet Treats.
D The cost of 3 pounds of fudge at Sweet Treats is less than the cost of a pound of fudge at Candy Lane.

The correct answer is D. The cost of 3 pounds of fudge at Sweet Treats is less than the cost of a pound of fudge at Candy Lane. This can be determined by comparing the prices in the table. At Sweet Treats, the price for 3 pounds of fudge would be 4 * 3 = 12 dollars. At Candy Lane, the price for 1 pound of fudge is 24 dollars. Therefore, the cost of 3 pounds at Sweet Treats is less than the cost of 1 pound at Candy Lane.

a b c or d

D

To compare the unit rates of fudge at Sweet Treats and Candy Lane, you need to determine the cost per pound at each store.

According to the given information, the cost for fudge at Sweet Treats is represented by the equation y = 4x, where y is the price paid for x pounds. This means that the unit rate at Sweet Treats is $4 per pound.

To find the unit rate at Candy Lane, you can refer to the table provided. As the table shows, for each additional pound of fudge, the price increases by $8. Therefore, the unit rate at Candy Lane is $8 per pound.

Now, let's compare the unit rates:

A. The unit rate for fudge at Sweet Treats is twice the unit rate at Candy Lane.
This is not true. The unit rate at Sweet Treats is $4 per pound, while the unit rate at Candy Lane is $8 per pound.

B. The unit rate for fudge at Candy Lane is equal to the unit rate at Sweet Treats.
This is not true. The unit rate at Candy Lane is $8 per pound, which is twice the unit rate at Sweet Treats.

C. The unit rate for fudge at Candy Lane is twice as much as the unit rate at Sweet Treats.
This is true. The unit rate at Candy Lane is $8 per pound, which is twice the unit rate at Sweet Treats ($4 per pound).

D. The cost of 3 pounds of fudge at Sweet Treats is less than the cost of a pound of fudge at Candy Lane.
To determine if this is true, you need to calculate the cost for 3 pounds of fudge at Sweet Treats and compare it to the cost for 1 pound of fudge at Candy Lane.
At Sweet Treats, the cost for 3 pounds of fudge is y = 4 * 3 = $12.
At Candy Lane, the cost for 1 pound of fudge is $8.
Therefore, the cost of 3 pounds of fudge at Sweet Treats is less than the cost of 1 pound of fudge at Candy Lane.

So, the correct statement is:

D. The cost of 3 pounds of fudge at Sweet Treats is less than the cost of a pound of fudge at Candy Lane.