Question

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

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Answer 1

The value of f when g = 7 is 8, based on the inverse variation relationship where the product fg is a constant.

Step-by-step explanation:

Since f varies inversely with g, we can express this relationship with the equation
f × g = k, where k is the constant of variation. From the given information, when f = 28 and g = 2, we can find the constant k by multiplying these two values together:

28 × 2 = k → k = 56.

Next, to find the value of f when g = 7, we set up the equation using our constant k:

f × 7 = 56.

To solve for f, we divide both sides of the equation by 7:

f = 56 / 7 → f = 8.

So, the value of f when g = 7 is 8.

Answer 2

Make up the proportion

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

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