Question

Assume that y varies inversely

with x. Ify = 7 when x = 2/3, find
y when x = 7/3.

Y=?

Answer 1

y = 2

Explanation:

y varies inversely with x setup is:

y = k/x

7 =
`(k)/(2/3)` (find 'k')

k = 7/1 · 2/3

k = 14/3

use what you know about 'k' and 'x' to solve for 'y'

y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)

y = 14/3 · 3/7

y = 2