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Following are the car parking charges near a railway station upto.
4 hours ruppes 60
8 hours rupees 100
12 hours rupees 140
24 hours rupees 180
check if the parking charges in direct proportion to the parking time?
4 hours ruppes 60
8 hours rupees 100
12 hours rupees 140
24 hours rupees 180
check if the parking charges in direct proportion to the parking time?
Most Upvoted Answer
Following are the car parking charges near a railway station upto.4 ho...
Understanding Direct Proportion
In mathematics, two quantities are said to be in direct proportion if an increase in one quantity results in a proportional increase in the other. To determine if the parking charges are in direct proportion to the parking time, we can analyze the given data.
Parking Charges and Time
- Up to 4 hours: ₹60
- Up to 8 hours: ₹100
- Up to 12 hours: ₹140
- Up to 24 hours: ₹180
Calculating Charge per Hour
To check for direct proportion, we can calculate the rate of charge per hour for each time interval:
- 4 hours: ₹60 / 4 = ₹15 per hour
- 8 hours: ₹100 / 8 = ₹12.50 per hour
- 12 hours: ₹140 / 12 = ₹11.67 per hour
- 24 hours: ₹180 / 24 = ₹7.50 per hour
Analysis of Results
The charge per hour is decreasing as the time increases:
- From 4 to 8 hours, the rate decreases from ₹15 to ₹12.50.
- From 8 to 12 hours, it further decreases to ₹11.67.
- From 12 to 24 hours, it drops to ₹7.50.
This indicates that the charges do not maintain a consistent rate and thus are not in direct proportion to the parking time.
Conclusion
Since the charge per hour decreases with an increase in parking time, we can conclude that the parking charges are not in direct proportion to the parking time. The more time you park, the lesser the cost per hour, which is contrary to the direct proportionality principle.
In mathematics, two quantities are said to be in direct proportion if an increase in one quantity results in a proportional increase in the other. To determine if the parking charges are in direct proportion to the parking time, we can analyze the given data.
Parking Charges and Time
- Up to 4 hours: ₹60
- Up to 8 hours: ₹100
- Up to 12 hours: ₹140
- Up to 24 hours: ₹180
Calculating Charge per Hour
To check for direct proportion, we can calculate the rate of charge per hour for each time interval:
- 4 hours: ₹60 / 4 = ₹15 per hour
- 8 hours: ₹100 / 8 = ₹12.50 per hour
- 12 hours: ₹140 / 12 = ₹11.67 per hour
- 24 hours: ₹180 / 24 = ₹7.50 per hour
Analysis of Results
The charge per hour is decreasing as the time increases:
- From 4 to 8 hours, the rate decreases from ₹15 to ₹12.50.
- From 8 to 12 hours, it further decreases to ₹11.67.
- From 12 to 24 hours, it drops to ₹7.50.
This indicates that the charges do not maintain a consistent rate and thus are not in direct proportion to the parking time.
Conclusion
Since the charge per hour decreases with an increase in parking time, we can conclude that the parking charges are not in direct proportion to the parking time. The more time you park, the lesser the cost per hour, which is contrary to the direct proportionality principle.
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Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time?
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Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time?.
Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following are the car parking charges near a railway station upto.4 hours ruppes 60 8 hours rupees 10012 hours rupees 14024 hours rupees 180 check if the parking charges in direct proportion to the parking time?.
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