Question

Suppose f varies inversely with g and that f = 28 when g = 2. What is the value of f when g = 7?

Answer 1

Answer:

Step-by-step explanation:

If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

Given that f varies inversely with g, if we introduce a constant of proportionality, k, the expression becomes

f = k/g

If f = 28 when g = 2, then

28 = k/2

k = 2 × 28 = 56

Therefore, the inverse variation equation is

f = 56/g

When g = 7, then

f = 56/7

f = 8

Answer 2

Make up the proportion

$28*2=x*7\\7x=56\\x=8$

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