Question

the value of y is directly proportional to the value of x. when x = 3.5, the value of y is 10.5. if x = 11, what is the value of y?
54
21
42
33

Explanation:

Step1: Find the constant of proportionality

Since $y$ is directly proportional to $x$, the equation is $y = kx$. When $x = 3.5$ and $y=10.5$, we find $k$ by substituting these values into the equation: $k=\frac{y}{x}=\frac{10.5}{3.5}=3$.

Step2: Find the value of $y$ when $x = 11$

Substitute $x = 11$ and $k = 3$ into $y=kx$. So $y=3\times11 = 33$.

Answer:

D. 33