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 slope of the line (calories per strawberry) is calculated as $\frac{\Delta y}{\Delta x}$. From the graph, when $x = 3$ (strawberries), $y = 12$ (calories). So slope $=\frac{12 - 0}{3 - 0}= 4$? Wait, no, wait. Wait, when $x = 2$, $y = 6$? Wait, no, let's check again. Wait, the y-axis is calories, x-axis is strawberries. Let's take two points: (0,0) and (3, 12)? Wait, no, when x=3, y=12? Wait, no, looking at the graph, when x=2, y=6? Wait, no, the grid: each x is 1, y is 3? Wait, no, the first point: when x=1, y=3? Wait, no, the line starts at (0,0), and when x=3, y=12? Wait, no, let's check the options. Let's test each option.

Option 1: Each strawberry has 4 calories. So for x strawberries, y=4x. Let's check x=3: y=12. Does the graph have (3,12)? Yes, because the line goes through (3,12) (since at x=3, y=12). Wait, but wait, when x=2, y=8? No, wait the graph: when x=2, y=6? Wait, no, maybe I misread. Wait the y-axis is 3,6,9,12,15,18,21,24,27. So each grid line is 3. So when x=1, y=3? No, the line is steeper. Wait, let's take two points: (0,0) and (3, 12)? Wait, no, when x=3, y=12? Wait, the line is from (0,0) to (6,24)? Wait, 24 calories for 6 strawberries: 24/6=4. So 4 calories per strawberry. So option 1: each strawberry has 4 calories. Let's check option 2: 3 calories per strawberry. Then 6 strawberries would have 18 calories, but the graph at x=6 has y=24, which is 24, so 24/6=4, not 3. So option 2 is wrong. Option 3: 24 strawberries contain 6 calories. 244=96, not 6. Wrong. Option 4: 4 strawberries contain 15 calories. 44=16, not 15. Wait, but maybe my initial analysis is wrong. Wait, let's re-examine the graph. The x-axis is number of strawberries (1,2,3,...), y-axis is calories (3,6,9,...). Wait, the line passes through (3,12), (6,24), etc. So slope is 12/3=4, 24/6=4. So each strawberry has 4 calories. So option 1 is correct.

Wait, but let's check again. If each strawberry has 4 calories, then for x strawberries, y=4x. So when x=3, y=12 (matches the graph, since at x=3, y=12). When x=6, y=24 (matches the graph, since at x=6, y=24). So option 1 is correct.

Step2: Test each option

• Option 1: Each strawberry has 4 calories. So y = 4x. For x=3, y=12 (matches graph). For x=6, y=24 (matches graph). Correct.
• Option 2: Each strawberry has 3 calories. Then y=3x. For x=6, y=18, but graph has y=24 at x=6. Wrong.
• Option 3: 24 strawberries have 6 calories. 24*4=96≠6. Wrong.
• Option 4: 4 strawberries have 15 calories. 4*4=16≠15. Wrong.

So the correct option is "Each strawberry contains 4 calories."

Answer:

Each strawberry contains 4 calories. (The option corresponding to this statement, e.g., if it's the first option, then "A. Each strawberry contains 4 calories" assuming the options are labeled A, B, C, D as: A. Each strawberry contains 4 calories, B. Each strawberry contains 3 calories, C. Twenty - four strawberries contain 6 calories, D. Four strawberries contain 15 calories. So the answer is A. Each strawberry contains 4 calories)