Suppose that f(x) varies directly with x and f(x)=160 when x = 5. What is f(x) when x = 0.5?

A: 16
B: 160
C: 32
D: 180

The required value of f(x) when x = 0.5 is 16.

Given,

f(x) varies directly with x .

f(x)=160 when x = 5.

We have to find f(x) when x = 0.5

According to the question ;

A function f(x) that varies directly with x. Direct variation is a case of variation expresses as the following form:

f(x) = kx

The value k is a nonzero constant greater than zero and is called the constant of variation.

This indicates that f(x) increases as x increases.

 So,

    f( x ) = kx

     k = 32  

When x = 0.5,

Then ,  f(x) = 32x

           f(x) = 32(0.5)

           f(x) = 16

The required value of  f(x) when x = 0.5 is 16.

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