Question

What are real-life examples of inverse proportion?

Answer 1

Step 1: Defining the inverse proportion:

Inverse proportion infers that a decrease in the value of variable $a$ results in an increase in the value of variable $b$. Similar to how an increase in the value of variable $b$ results in a decrease in the value of variable $a$.

The following formula can be used to show that the variable $a$ is inversely proportional to the variable $b$.

$a\propto \frac{1}{b}$

Here, the proportional constant $k$ makes $ab$ equal to$k$.

$\begin{array}{rcl}a& =& k\frac{1}{b}\\ & \Rightarrow & ab=k\end{array}$

Step 2: Real-life examples of inverse proportion:

Real-life examples of inverse proportion can be:

• Worker count and completion time are inversely proportional: the more workers, the quicker the work is completed.
• Vehicle speed and distance traveled determine how quickly you can close the distance.
• As one gets farther from the sun, the brightness of the sunlight lessens.
• The amount of road space available decreases as the number of vehicles on the road rises.
• Price and Demand: As the cost of any good rises, so does consumer demand.
• The decrease in death rate as the healthcare system improves.
• Work completed and energy expended - As a person works harder, his energy drains and vice versa.
• Spending and savings - Your savings will decrease as you spend more money.