Question

marshall likes to make lemonade using the lemons from his grandmothers trees. this graph shows the relationship between the number of pitchers of lemonade marshall wants to make, x, and the number of lemons he needs, y.

Explanation:

Assuming the question is to find the equation of the line or the relationship between \( x \) (pitchers) and \( y \) (lemons):

Step1: Identify two points on the line

From the graph, when \( x = 1 \), \( y = 5 \); when \( x = 2 \), \( y = 10 \).

Step2: Calculate the slope (\( m \))

Slope formula: \( m=\frac{y_2 - y_1}{x_2 - x_1} \)
Using points \( (1, 5) \) and \( (2, 10) \): \( m=\frac{10 - 5}{2 - 1}=\frac{5}{1} = 5 \)

Step3: Determine the equation (slope - intercept form \( y=mx + b \))

Since the line passes through the origin (\( b = 0 \)), the equation is \( y = 5x \)

Answer:

The relationship is \( y = 5x \) (meaning 5 lemons per pitcher of lemonade)