Question

the cost of 4 pounds of grapes is $24.36. what is the constant of proportionality that relates cost in dollars, y, to the number of pounds of grapes, x?

Explanation:

Step1: Recall the formula for constant of proportionality

The relationship for a proportional relationship is $y = kx$, where $k$ is the constant of proportionality. Here, $y$ is the cost and $x$ is the number of pounds. We know $y = 24.36$ when $x = 4$.

Step2: Calculate the constant of proportionality

We use the formula $k=\frac{y}{x}$. Substitute $y = 24.36$ and $x = 4$ into the formula: $k=\frac{24.36}{4}=6.09$.

Answer:

6.09