If f(x) varies directly with x and f(x) = 40 when x = 8, find the value of f(x) when x = 2.
2 answers:
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
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:
Answer:
the value of the function for is:
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