If f(x)f(x) is an exponential function where f(2.5)=13f(2.5)=13 and f(9.5)=20f(9.5)=20, then find the value of f(16)f(16), to the nearest hundredth.

When we have a number like:

1.0x10^n

To rewrite this in standard form, we need to:

if n is positive, we move the decimal point n times to the right, adding zeros when necessary.

1.0x10^3

n = 3. then we add 3 zeros between the one and the decimal point, this is:

1.0x10^3 = 1000

if n< 0, then we move the decimal point n times to the left.

If we had:

1.0x10^-3

We move the decimal point 3 times to the left, adding zeros as this is needed.

1.0x10^-3 = 0.001

if n = 0, we have:

1.0x10^0 = 1.0

Now let's rewrite all the given numbers:

A) 3.4x10^-1  = 0.34

B) 1.36x10^6  = 1360000

C) 7.9x10^0  = 7.9

D) 2.4x10^5  = 240000

E) 5.21x10^-3  = 0.00521

F) 4.3x10^-2 = 0.043