Question

If x varies inversely with y and x = 8 when y = 6, find y when x = 10.

a.
Y equals begin fraction five over twelve end fraction

b.
y = 4.8

c.
y = 7.5

d.
Y equals begin fraction forty over three end fraction

Answer 1

y = 4.8

Explanation:

Given that x and y vary inversely then the equation relating them is

y =
`(k)/(x)` ← k is the constant of variation

To find k use the condition x = 8 when y = 6, thus

k = yx = 6 × 8 = 48

y =
`(48)/(x)` ← equation of variation

When x = 10, then

y =
`(48)/(10)` = 4.8