Question

2 examples of inverse variation

Answer 1

Answer:

Example 1:

Suppose that y varies inversely as x and that y = 8 when x = 3.

a) Form an equation connecting x and y.

b) Calculate the value of y when x = 10.

Solution:

i.e. xy = k where k is a non-zero constant

a) Substitute x = 3 and y = 8 into the equation to obtain k

3 × 8 = k ⇒ k = 24

The equation is xy = 24

b) When x = 10, 10 × y = 24 ⇒ y = 24/10 = 12/5

Example 2:

Suppose that y varies inversely as x 2 and that y = 10 when x = .

a) Find the equation connecting x and y .

b) Find the value of y when x = 3.

Solution:

Solve by yourself but if you still didn't get it then search it on Google you'll get it .

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