"Question 1 Following are the car parking charges near a railway station up to
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.
Class 8 Direct and Inverse Proportions Page 208"
Answers
Direct variation:
If two quantities increase or decrease together in such a manner that the ratio of their corresponding values remain constant, we say that the two quantities vary directly.
In other words x and y are said to vary directly if X/y = k , where k is a positive constant.
In direct Proportion
x/y= k
x=ky
So we can find value of k from known values, and then use the formula to calculate the unknown values
Inverse variation:
Two quantities x and y are said to vary inversely or indirectly if an increase in x causes a decrease in y and a decrease in X causes an increase in y in such a way that xy remains constant.
In other words x and y are said to vary indirectly if x y = k, where K is a positive constant.
In inverse Proportion
xy= k
x=k/y
So we can find value of k from known values, and then use the formula to calculate the unknown values
When two quantities x and y are in direct proportion (or vary directly) they are also written as x∝y.
When two quantities x and y are in inverse proportion (or vary inversely) they are also
written as x∝ 1/y
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Solution:
Let the charges be x1 , x2, x3, x4
x1= 60/4= 15
X2= 100/8= 12.50
X3=140/12= 11.67
X4= 180/24= 7.50
x1 ≠ x2 ≠ x3 ≠ x4
Here, The charges per hour are not same , Hence the parking charges are not in direct proportion to the parking time.
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Hope this will help you...
Answer:
No they aren’t
Step-by-step explanation:
As the ratios of these parking charges along with time aren’t equal they aren’t in direct proportion