Answer to Question #155045 in Algebra for luna

Question

The number likes (l) of a dance challenge video posted in the internet varies jointly to its shares (s) and to the no of hours (h) it is posted in Facebook. If in 4 hours it receives 40000 likes after 2000 shares. How many likes will it receive after 10 hours and 5000 shares? 

Answer 1

Step 1: Find the constant k which is denoted in the joint variation equation:

a = kbc

Where (a) is the number of likes I, (k) is a constant, (b) is the number of hours h, (c) the number of shares s.

Step 2: Substituting the different value to find the value of K

I=khc

I = 40,000

h = 4 hours

s = 2,000 shares

k = I/hs

k = 40,000/4 x 2,000

k = 5

Step 3: Use the newly found constant and apply it to the subsequent equation given the following:

h = 10 hours

s = 5,000 shares

k = 5

Therefore I is given by

I = khs

I = 5 x10 x 5,000

I = 25,0000

Hence the number of likes after 10 hours and 5000 shares = 250,000