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calories in strawberries the graph shows the relationship between the n…

Question

calories in strawberries
the graph shows the relationship between the number
of strawberries eaten and the approximate number of
calories consumed. which statement is true?
each strawberry contains 4 calories.
each strawberry contains 3 calories.
twenty-four strawberries contain 6 calories.
four strawberries contain 15 calories.

Explanation:

Step1: Analyze the graph's slope

The graph is a line passing through the origin (0,0) and (4,12) (or other points). The slope (calories per strawberry) is calculated as $\frac{\text{change in } y}{\text{change in } x}$. For (0,0) to (4,12), slope = $\frac{12 - 0}{4 - 0} = 3$.

Step2: Evaluate each option

  • Option 1: Slope is 3, not 4. False.
  • Option 2: Slope is 3, so each strawberry has 3 calories. True.
  • Option 3: 24 strawberries would have $24\times3 = 72$ calories, not 6. False.
  • Option 4: 4 strawberries would have $4\times3 = 12$ calories, not 15. False.

Answer:

B. Each strawberry contains 3 calories.