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3 years ago

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

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

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

$y=kx\\\\\Rightarrow 150=k\times15\\\\\Rightarrow k=\dfrac{150}{15}\\\\\Rightarrow k=10.$

Thus, the required constant of proportionality is 10.

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