Rafael buys apples from the local orchard. The table below shows the relationship between the cost C (in dollars) and the weight W (in kilograms) of the apples purchased.
Weight (kilograms) 1 2 3 4
Cost (dollars) 4 8 12 16
(a)For the information in the table, write an equation to represent the relationship between C and W.
(b)Choose the correct statement to represent this relationship.
Apples cost 4 dollars per kilogram.
Apples cost 1 dollar per 4 kilograms.
Apples cost 16 dollars per kilogram.
Apples cost 1 dollar per kilogram.
(a) To write an equation that represents the relationship between C (cost) and W (weight), we can use the equation:
C = 4W
(b) The correct statement to represent the relationship is: Apples cost 4 dollars per kilogram.
(a) To write an equation representing the relationship between C (cost in dollars) and W (weight in kilograms), we can observe that the cost increases by 4 dollars for every 1 kilogram increase in weight. Therefore, we can use the equation:
C = 4W
(b) The correct statement to represent this relationship is:
Apples cost 4 dollars per kilogram.
(a) To find the equation that represents the relationship between C (cost in dollars) and W (weight in kilograms), we can observe how the cost changes as the weight increases. From the table, we can see that when the weight is 1 kilogram, the cost is 4 dollars. When the weight is 2 kilograms, the cost is 8 dollars. Using this information, we can determine that the cost increases by 4 dollars for every additional kilogram of weight.
So, for every kilogram increase in weight, the cost increases by 4 dollars.
From this, we can write the equation:
Cost (C) = 4 * Weight (W)
(b) To choose the correct statement that represents this relationship, we can examine the equation we just derived. The equation we found is:
Cost (C) = 4 * Weight (W)
Given this equation, we can see that the appropriate statement to represent the relationship is:
Apples cost 4 dollars per kilogram.