Answer:
The given statement Y = 7, x = 4 is False.
Step-by-step 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: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]
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:
[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]
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.
