Question

at the local dairy farm, kareem buys a 32 - oz container of yogurt for $2.56. jonah buys a 6 - oz container of yogurt for $0.48. are the cost, y, in dollars and the amount of yogurt, x, proportional? explain. write an equation to represent this relationship. ; the ratios and are equivalent, y = x.

Explanation:

Step1: Calculate unit - cost for Kareem

For Kareem, the cost is $y = 2.56$ dollars and the amount of yogurt $x = 32$ oz. The unit - cost ratio is $\frac{y}{x}=\frac{2.56}{32}=0.08$.

Step2: Calculate unit - cost for Jonah

For Jonah, the cost is $y = 0.48$ dollars and the amount of yogurt $x = 6$ oz. The unit - cost ratio is $\frac{y}{x}=\frac{0.48}{6}=0.08$.

Step3: Determine proportionality and equation

Since the two unit - cost ratios are equal, the cost $y$ and the amount of yogurt $x$ are proportional. The equation representing the relationship is $y = 0.08x$.

Answer:

Yes; The ratios $\frac{2.56}{32}$ and $\frac{0.48}{6}$ are equivalent, $y = 0.08x$