Question

Let f(x)=186+5e−0.1x . What is f(6) ?

Answer 1

`f(6)=188.7` to the nearest tenth

Explanation:

The given function is
`f(x)=186+5e^(0.1x)`.

We want to find the value of this function at x=6.

We substitute 6 wherever we see x in the given function to obtain:

`f(6)=186+5e^(0.1(6))`.

We now evaluate using at least a scientific calculator to obtain:

`f(6)=186+5(0.5488116361)`.

`f(6)=186+2.74405818`.

`f(6)=188.74405818`.

`f(6)=188.7` to the nearest tenth