Inverse Variation With Exponents
Inverse Variation With Exponents
Inverse Variation:
Two terms are said to be in inverse variation if increase or decrease of term will result in the decrease or increase of the other term respectively.
For example:let us consider the equation
Now let us calculate the value of y for different values of the x
|
x |
1 | 2 | 3 | 4 | 5 |
|
y |
5 | 2.5 | 1.66 | 1.25 | 1 |
If we graph y against x we get the graph below
Inverse Variation With Exponents:
Two terms are said to be in inverse variation with exponents if increase or decrease of term will result in the exponential decrease or increase of the other term respectively.
For example:let us consider the equation
Now let us calculate the value of y for different values of the . Here we include in the table a row for the values of
:
|
x |
1 | 2 | 3 | 4 | 5 |
| 1 | 4 | 9 | 16 | 25 | |
| y | 5 | 1.25 | 0.56 | 0.31 | 0.20 |
If we plot the value y against x we get the graph below. From the graph we can infer that there is an steep fall in the value of y when the value of x increases
Illustration: Suppose y is inversely proportional to the square of the x , and that y =36 when x = 5
(a) find y when x = 15 (b) given , find x when y = 49 .
Solution: According to the question it is given that
(a) It is given that when x= 5 the value of y = 36 . To find the value of y when x = 15
| x | 5 | 15 |
| y | 36 | ? |
we see that the new value of x is obtained when x is multiplied by 3
(b) It is given that when x= 5 the value of y = 36 . To find the value of y when x = 15
| x | 5 | ? |
| y | 36 | 49 |
we see that the new value of y is obtained when present value of y is multiplied by 49 and divided by 36
If y varies inversely as | |||
| Right Option : A | |||
| View Explanation | |||
Suppose that y varies inversely as x 2 and that y = 10 when | |||
| Right Option : A | |||
| View Explanation | |||
Suppose y is inversely proportional to the square of the x , and that y =36 when x = 5 ? Find y when x = 15 | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
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Yogansh Nyasi
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Aman Kumar Shrivastava
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
