Question

State true or false:

Following are the car parking charges near a railway station upto
4 hours Rs 60
8 hours Rs 100
12 hours Rs 140
24 hours Rs 180
Hence, the parking charges are in direct proportion to the parking time.

• A. True
• B. False

Answer 1

The correct option is B False

Suppose time is denoted by $x$ and parking charge is denoted by $y$.
For $x=4hours$, $y=60Rs$. Therefore, $\frac{x}{y}=\frac{4}{60}=\frac{1}{15}$
For $x=8hours$, $y=100Rs$. Therefore, $\frac{x}{y}=\frac{8}{100}=\frac{2}{25}$
For $x=12hours$, $y=140Rs$. Therefore, $\frac{x}{y}=\frac{12}{140}=\frac{3}{35}$
For $x=24hours$, $y=180Rs$. Therefore, $\frac{x}{y}=\frac{24}{180}=\frac{2}{15}$
Since, ratio of $x$ and $y$ is different for each time period, parking charges are not directly proportional to parking time.