1. If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.
2.If y varies inversely as x, and y = 3 as x = 8, find y for the x-value of 6.

Question

1. If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.
2.If y varies inversely as x, and y = 3 as x = 8, find y for the x-value of 6.

johnweldon1993 · Answer

$$\large y = \frac{k}{x}$$

Will be the formula we will utilize here..varying inversely

johnweldon1993 · Answer

When y = 4....x = 8...so

$$\large 4 = \frac{k}{8}$$

Solving for 'k' we get

$$\large k =32$$

johnweldon1993 · Answer

If that is true...our formula for this problem will be

$$\large y = \frac{32}{x}$$

So now...when x = 2...what does 'y' equal?

ibbutibbu. · Answer

ok.. this is proportions. so...

1: The answer is Y=0.5
2: The answer is Y=2.25

johnweldon1993 · Answer

We would plug in 2 for 'x' and solve for 'y' getting a result of

$$\large y = \frac{32}{2} = 16$$