2. the table shows the weights of bunches of bananas and the price of each bunch. identify the constant of…

Explanation:

Step1: Calculate the ratio for each pair

For the first pair ($w = 3$, $p=1.35$): $\frac{p}{w}=\frac{1.35}{3}=0.45$ For the second pair ($w = 3.8$, $p = 1.71$): $\frac{p}{w}=\frac{1.71}{3.8}=0.45$ For the third pair ($w = 5.2$, $p=2.34$): $\frac{p}{w}=\frac{2.34}{5.2}=0.45$

Step2: Determine the equation

Since the ratio $\frac{p}{w}=0.45$ (constant of proportionality $k = 0.45$), and the relationship for direct proportionality is $p=kw$.

Answer:

The constant of proportionality is $0.45$. The equation is $p = 0.45w$.