Question

Suppose that y is directly proportional to x, and y = 150 when x = 15. What is the constant of proportionality?

Answer 1

10 gugvtbfvghmfjgncgfhfdg

Answer 2

Answer: The required constant of proportionality is 10.

Step-by-step explanation: Given that y is directly proportional to x, and y = 150 when x = 15.

We are to find the constant of proportionality.

According to the given information, we can write

`y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~[\textup{where k is the constsnt of propotionality}].`

When y = 150 and x = 15, we get from the above equation that

`y=kx\\\\\Rightarrow 150=k*15\\\\\Rightarrow k=(150)/(15)\\\\\Rightarrow k=10.`

Thus, the required constant of proportionality is 10.