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: Calculate the slope (calories per strawberry)

The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(6,18)\).
\(m=\frac{18 - 0}{6 - 0}=\frac{18}{6}=3\)

Step2: Analyze each option

• Option 1: If each strawberry had 4 calories, for \(x = 6\), \(y=4\times6 = 24

eq18\)

• Option 2: Since \(m = 3\), each strawberry has 3 calories. For \(x = 6\), \(y=3\times6=18\) (matches the graph)
• Option 3: If \(x = 24\), \(y = 3\times24=72

eq6\)

• Option 4: If \(x = 4\), \(y=3\times4 = 12

eq15\)

Answer:

Each strawberry contains 3 calories.