Question

The population of lions (l) in a sanctuary is 40% less than it was a year ago (p). The correct equation representing the relationship is

• A. l = 0.4 p
• B. p = 0.6 l
• C. l = 0.6 p
• D. p = 0.4 l

Answer 1

The correct option is C l = 0.6 p

Initial population of lions = p
Population of lions after 1 year = l

Here, l acts as the dependent variable and p acts as the independent variable.

Now, the population decreases by 40% after a year.
or, the population decrease by = $\frac{40}{100}\times p=0.4p$

∴ The population after 1 year will become:
$\Rightarrow l=p-0.4p$
$\Rightarrow l=0.6p$