Question

svlc algebra 1a - standard (15260)
representing relationships

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.

four strawberries contain 15 calories.

twenty - four strawberries contain 6 calories.

each strawberry contains 3 calories.

(graph: calories in strawberries with x - axis number of strawberries (0 - 9) and y - axis number of calories (0 - 27), red line through origin with positive slope)

Explanation:

Step1: Analyze the graph's slope (calories per strawberry)

The graph passes through (0,0) and, for example, when \( x = 3 \), \( y = 9 \). The slope (calories per strawberry) is \( \frac{y}{x}=\frac{9}{3} = 3 \). So each strawberry has 3 calories.

Step2: Check each statement

• "Each strawberry contains 4 calories": Slope is 3, so false.
• "Four strawberries contain 15 calories": \( 4\times3 = 12

eq15 \), false.

• "Twenty - four strawberries contain 6 calories": \( 24\times3 = 72

eq6 \), false.

• "Each strawberry contains 3 calories": Matches the slope calculation, true.

Answer:

Each strawberry contains 3 calories.