Two quantities, x and y, are such that y is inversely proportional to x Increasing x from its initial - Maths - Ratio and Proportion

Question

Two quantities, x and y, are such that y is inversely proportional
to x Increasing x
from its initial value to 7 causes the value of y to drop from 8 to
4
(a) Find the initial value of x
(b) Find the formula that expresses y in terms of x
(c) If y had dropped from 8 to 2, what would have happened to x?

Ankita Agarwal · Accepted Answer

Dear Student,
Given y∝1xx=  3
5   7   14   28y=8421  Hence y=kxAs x=7  y=4   when x=7 y drops to 4hence 4=k7k=28Now in y=kxi when k=28 , y=8 x=?8=28xx=288x=3
5ii formula that expresses y in terms of x
y=kxiii when y=2, k =28 x=?2=28xx=282x=14

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