Question

All exponential functions can be written in many forms. Write the function

f (t) = 950e 0.25 in the form f(t) = a (3)
• Round all coefficients to four decimal
places.

Answer 1

The coefficients to four decimal places
`f(t)=950.e^(-0.2500t)`

The given exponential function is
`f(t)=950e^(-0.25t)` , and we want to write it in the form

`f(t)=a.e^(bt) .`

To do this, we need to rewrite the expression to match the desired form. The general form of an exponential function is

`f(t)=ae^(bt) .`

In your case:

`f(t)=950e^(-0.25t) =950.e^((-0.25)t)`

Now, comparing this with the general form, we can see that

a=950 and b=−0.25.

So, the exponential function f(t) can be written in the desired form as:

`f(t)=950.e^(-0.25t)`

Make sure to round the coefficients to four decimal places:

`f(t)=950.e^(-0.2500t)`