Question

E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18.

Answer 1

10.8

Explanation:

E has increased by a factor of 18/10 = 1.8, so G will increase by that factor. The corresponding value of G is ...

6 × 1.8 = 10.8 = G

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If you like, you can write an equation relating G to E:

E = kG

10 = k(6)

k = 10/6 = 5/3

Now for E = 18, we have ...

18 = (5/3)G

18(3/5) = G = 10.8