Question

so i'm studying for sats and its saying something abt inverse proportions and all. can someone plz explain me the concept?
thanx

Answer 1

inverse proportion means that when one value inceases, the other decreases

Answer 2

If x is inversely proportional to y, if you double x, y becomes half as big. Or if you make x n times as big, y become 1/n times as big.

Answer 3

for example if u increase your speed then the time taken to cover the same distance is less
so time taken and speed are in inverse proportion

Answer 4

formula for this is xy = constant
ie for each pair of x and y your product will be same

Answer 5

what does that have to do with a contstant k?

Answer 6

If you introduce a constant or proportionality, you can form an equation.

Answer 7

see if you travel for 2 hours at a speed of 20 km/h , you cover 40 km
and if u travel for 4 hours at a speed of 10 km/h, you cover 40 km

so we can say 2 x 20 = 40
and 4 x 10 = 40

in both cases, the product is 40 ie constant

Answer 8

take this example
if u read 20 pages in an hour, u finish the book in 5 hours
how much time you will take if u read 50 pages in an hour

Obviously in the second case time will be less because u hv increased the number of pages being read in an hour

Now the book has finite number of pages and it is same in both cases
From first case we find that total no of pages is 20x5 = 100
Now at the rate of 50 pages per hour u will need 2 hours to finish it

So in first case if no of pages=x and time=y then xy = 20x5 = 100
and in second case x=50 and so xy here also has to be 100
50 x y = 100
so y = 100/50 = 2

That is why the constant comes into play