Question
y is inversely proportional to x.
Find
percentage change in y when decreases by 50%
Find
percentage change in y when decreases by 50%
Answers
Bot
Since y is inversely proportional to x, we can write:
y = k/x
where k is a constant.
If x decreases by 50%, it becomes 0.5x. We can then find the new value of y using the same equation:
y' = k/(0.5x) = 2k/x
The percentage change in y is:
((y' - y)/y) * 100%
Substituting in the expressions for y and y':
((2k/x - k/x)/k/x) * 100%
Simplifying:
((k/x)/k/x) * 100%
= 100%
Therefore, the percentage change in y when x decreases by 50% is 100%.
y = k/x
where k is a constant.
If x decreases by 50%, it becomes 0.5x. We can then find the new value of y using the same equation:
y' = k/(0.5x) = 2k/x
The percentage change in y is:
((y' - y)/y) * 100%
Substituting in the expressions for y and y':
((2k/x - k/x)/k/x) * 100%
Simplifying:
((k/x)/k/x) * 100%
= 100%
Therefore, the percentage change in y when x decreases by 50% is 100%.