If F varies directly as G and inversely as the square of H, and F = 20 when G = 50 and H = 5, find F when G = 18 and H = 6.Jio
Answers
Answer :-
Step 1 : Write the correct equation. Combined variation problems are solved using a combination of variation equations. In this case, you will combine the direct and inverse variation equations, use f, g, and h instead of x, y, and z, and notice how the word “square” changes the equation.
Y = KX/Z --» F = KG/H^2.
Step 2 : Use the information given in the problem to find the value of k. In this case, you need to find k when f = 20, g = 50, and h = 5.
20 = K(50)/5^2.
20 = 2K.
10 = K.
Step 3 : Rewrite the equation from step 1 substituting in the value of k found in step 2.
F = 10G/H^2.
Step 4 : Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find f when g = 18 and h = 6.
F = 10(18)/6^2.
Therefore , F = 5.