a recipe for mac and cheese has a proportional relationship between the amount of macaroni in cups and the…

a recipe for mac and cheese has a proportional relationship between the amount of macaroni in cups and the amount of cheese in cups. the relationship is shown on the graph below.the point (4, 17) is shown on the graph. write an equation that represents this situation, where y represents the amount of macaroni, in cups, and x represents the amount of cheese in cups.

a recipe for mac and cheese has a proportional relationship between the amount of macaroni in cups and the amount of cheese in cups. the relationship is shown on the graph below.the point (4, 17) is shown on the graph. write an equation that represents this situation, where y represents the amount of macaroni, in cups, and x represents the amount of cheese in cups.

Answer

Explanation:

Step1: Recall proportional equation form

Proportional relationships follow $y = kx$, where $k$ is the constant of proportionality.

Step2: Solve for k using given point

Substitute $x=4$, $y=17$ into $y=kx$: $$17 = k \times 4$$ $$k = \frac{17}{4} = 4.25$$

Step3: Write final equation

Substitute $k=4.25$ back into $y=kx$.

Answer:

$y = 4.25x$ or $y = \frac{17}{4}x$