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topjm [15]
2 years ago
15

If f(x) varies directly with x and f(x) = 40 when x = 8, find the value of f(x) when x = 2.

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

For this case we have a direct variation of the form:

f (x) = kx

Where "k" is the constant of proportionality. To find it, we use the following data:

f (x) = 40\ and\ x = 8

Substituting:

40 = k * 8

Clearing the value of k:

k = \frac {40} {8}\\k = 5

Thus, the direct variation is given by:

f (x) = 5x

Forx = 2 we have:

f (2) = 5 * 2\\f (2) = 10

Answer:

The value of the direct variation for x = 2is: f (2) = 10


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