Question

X is proportional to ✓y where y>0 .

y is increased by 44%
work out the percentage increase in x​

Answer 1

20%

Explanation:

x = k√y

Increase y by 44%. y becomes 1.44y.

x = k√(1.44y)

x = 1.2k√y

x went from k√y to 1.2k√y.

(1.2k√y)/(k√y) = 1.2

x is now 1.2 times greater than it was, so the increase in x is 20%.

Answer: 20%