# Q1. 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 Check if the parking charges are in direct proportion to the parking time.

We say that x and y are in direct proportion, if  $\frac{x}{y}=k$ or  $x = ky.$

Hence in the given problem we have,

Charges for the parking :

 y x 4 hours Rs. 60 8 hours Rs. 100 12 hours Rs. 140 24 hours Rs. 180

considering x to be charged to be paid and to be the parking time.

Then we calculate  $\frac{x}{y}$,

For:-    4 hours:  $\frac{60}{4}=\frac{15}{1}$                     8 hours : $\frac{100}{8}=\frac{25}{2}$

12 hours : $\frac{140}{12}=\frac{35}{3}$                 24 hours:  $\frac{180}{24}=\frac{15}{2}$

Clearly $\frac{x}{y}$ is not equal to some constant 'k',  then we can say that

Parking charges are not in direct proportion to parking time.

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