Assume that 𝑦 varies inversely with 𝑥. If 𝑦=9 when 𝑥=7, find 𝑦 when 𝑥=2.

Question

Unit 04: Linear Functions

Answer 1

Hi Naheim M

Since y varies inversely with x

Then y = some number n/x

If

y = n/x

yx = n

Given y = 9 when x= 7

Then

9 = n/7

7*9 = n

63 = n

y = 63/x

When x = 2

y = 63/2

y = 31.5

You can graph this non linear equation on Desmos.com