Mathematics: Find the number that makes the ration equivalent to 77: 99

Find the number that makes the ration equivalent

student8248

14.07.2020

8 Ohms Resistance

Step-by-step explanation:

Let the Resistance is represented by f(x) and The current in x. hence we are given that

$f(x)∝\frac{1}{x}
$

Using constant of proportionality k we can say that

$f(x) = k\times \frac{1}{x}$

where k is always constant for all values of x and f(x)

now we are given that for x = 12, we have f(x) = 210

This will help us to determine k , once we have the value of k , we can determine the f(x) for x = 15

Hence Now we have

f(x) = 10 , x = 102

putting them into

$f(x) = k\times \frac{1}{x}$

$10=k\times \frac{1}{12} 
$

k=120

Hence we now know the value of k as 120

Now we find f(x) at x=15

$f(x)= 120 \times \frac{1}{15}$

$f(x) = \frac{120}{15} 
$

f(x) = 8

Hence this is our answer 8 Ohms of Resistance will be used.

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