Answer:
x = 8
Step-by-step explanation:
To find the value of x when y = 18 we must first find the relationship between them.
The statement
y varies inversely as x is written as
[tex]y \: \: \alpha \: \: \frac{k}{x} [/tex]
where k is the constant of proportionality
From the question when
y = 6
x = 24
Substitute the values into the above equation
That's
[tex]6 = \frac{k}{24} [/tex]
Cross multiply
That's
k = 24(6)
k = 144
So the formula for the variation is
[tex]y = \frac{144}{x} [/tex]
When
y = 18
[tex]18 = \frac{144}{x} [/tex]
Cross multiply
18x = 144
Divide both sides by 18
x = 8
Hope this helps you
