Answer: B. y=5x
Step-by-step explanation:
We know that the rate of change which is also known as the constant of proportionality (\(c=\frac{y}{x}\)) which is the constant ratio between two proportional quantities .
Let's find constant of proportionality in all of the given options:
A. x=5y
\(\Rightarrow\ \frac{y}{x}=\frac{1}{5}
eq5\)
B.y=5x
\(\Rightarrow\ \frac{y}{x}=5\)
C. y=x+5
\(\Rightarrow\ \frac{y}{x}=\frac{x+5}{x}
eq\text{constant of proportionality}\)
D.y=5-x
\(\Rightarrow\ \frac{y}{x}=\frac{5-x}{x}
eq\text{constant of proportionality}\)
Thus, in B the constant of proportionality is 5.
