If y varies inversely as x and y = 0.8 when x = 1.8, find y when x = 4.8

Answer: y = 0.3

Step-by-step explanation:

The statement is expressed as:

y ∝ 1/x

To convert this to an equation, we introduce k, which is the constant of variation.

y = k * 1/x

y = k/x

To find k use the given condition that y = 0.8 when x = 1.8

y = k/x

0.8 = k/1.8

k = 0.8 * 1.8

k = 1.44

When x = 4.8

y = k/x

y = 1.44/4.8

y = 0.3