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Savatey [412]
3 years ago
8

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

Mathematics
2 answers:
Vsevolod [243]3 years ago
4 0

Answer:

f(x) = 10

Step-by-step explanation:

for direct variation

f(x) = kx

substitute in for f(x) and x

40 = k*8

solve for k

40/8 = k*8/8

5 =k

now we have

f(x) = 5*x

let x=2

f(x) = 5*2

f(x) = 10


slega [8]3 years ago
3 0

For this case we have a function of the form:

f (x) = kx

We must find the constant of proportionality. For this, we use the following data:

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

Substituting values we have:

40 = k * 8

Clearing k we have:

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

Therefore, the function is given by:

f (x) = 5x

For x = 2 we have:

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

Answer:

the value of the function for x = 2 is:f (2) = 10


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