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

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

For this case we have a function of the form:

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

Substituting values we have:

Clearing k we have:

Therefore, the function is given by:

For we have:

the value of the function for is:

17   x 256=4352

sorry if this is wrong, i'm new.

step-by-step explanation: