Question

Y is inversely proportional to x, when Y = 7, x = 4.

True or False: the constant of proportionality, k, is 20.

Answer 1

The given statement Y = 7, x = 4 is False.

Explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as:
`y\:\alpha \:(1)/(x)\\y=(k)/(x)`

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

`y=(k)/(x)\\y=(20)/(4)\\y=5`

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement Y = 7, x = 4 is False.