Let y represent the number of calories and x represent the number of servings. Select all equations that represent this relationship and find the constant of proportionality. Explain your reasoning. ● 1, 750푦 = 5푥 ● 푦 = 350푥 ● 1, 750푥 = 5푦 ● 푥 = 350푦
The correct equations that represent the relationship between calories (y) and servings (x) are:
1) 750y = 5x
3) 1,750x = 5y
Equation 2) y = 350x does not represent the relationship accurately because it implies that for every serving, there are 350 calories. However, equation 1) states that for every 750 calories, there are 5 servings, which gives a more accurate representation of the relationship between calories and servings.
To find the constant of proportionality, we can rearrange equation 1) to solve for y or x:
750y = 5x
Divide both sides by 750:
y = (5/750)x
The constant of proportionality is (5/750).