Question

a recipe for lemonade has a proportional relationship between the amount of water in cups and the number of lemons. the relationship is shown on the graph below.the equation of the original recipe is $y = 1.5x$. now, consider the two graphs below. which graph shows the same relationship as the original recipe, $y = 1.5x$? you may choose to solve on paper and then select your answer on zearn.graph agraph bgraph agraph bneither

Explanation:

Step1: Check Graph A's slope

Use the marked point $(30, 48)$. Calculate slope: $\frac{y}{x} = \frac{48}{30} = 1.6$

Step2: Check Graph B's slope

Use the marked point $(60, 90)$. Calculate slope: $\frac{y}{x} = \frac{90}{60} = 1.5$

Step3: Compare to original equation

Original slope is $1.5$, matching Graph B.

Answer:

Graph B