QuestionKaren buys apples from the local orchard. The table below shows the relationship between the cost (in dollars) and the weight (in kilograms) of the apples purchased.
\begin{tabular}{|c|c|c|c|c|}
\hline Weight & 0 & 1 & 2 & 3 \\
\hline \begin{tabular}{c}
(kilograms)
\end{tabular} & 0 cost \\
(dollars)
\end{tabular}
(a) For the information in the table, write an equation to represent the relationship between and .
(b) Choose the correct statement to represent this relationship.
Apples cost 1 dollar per 4 kilograms.
Apples cost 4 dollars per kilogram.
Apples cost 1 dollar per kilogram.
Apples cost 12 dollars per kilogram.
Explanation
Check
Studdy Solution
STEP 1
1. The relationship between cost and weight is linear.
2. The table provides the cost for weights 0, 1, 2, and 3 kilograms as 0, 4, 8, and 12 dollars respectively.
STEP 2
1. Analyze the given data to determine the relationship between and .
2. Write an equation to represent the relationship.
3. Choose the correct statement that describes the relationship.
STEP 3
Examine the table to identify how the cost changes with the weight .
The cost increases by 4 dollars for each additional kilogram.
STEP 4
Since the cost increases by 4 dollars per kilogram, the relationship is linear with a slope of 4.
The equation for the relationship is .
STEP 5
Compare the derived equation with the given options to determine the correct statement.
The correct statement is "Apples cost 4 dollars per kilogram."
The equation representing the relationship is:
The correct statement is:
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