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
==========================================================
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.
Gaurav Seth 6 years, 10 months ago
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
==========================================================
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.
3Thank You