exponential function

[Guest]

I am completely lost. Please help!!:

Find the equation of the exponential functions (that is, of the form f(t)=ab^t with the given characteristics.)

a) f(3)=0.025 f(4)=.0125

b) Some values of the function are given on the following table:

f f(t)
-1 2
1 9/2
4 243/16

 

[tkhunny]

You have two parameters. You should be able to do it with two hints. I'm a little worried about part b. Three hints may go astray, unless we're lucky.

Plug-n-chug.

f(3)=0.025 ==> a*b³ = 0.025
f(4)=0.0125 ==> a*b⁴ = 0.0125

Solve for a and b.

Hint: What is f(4)/f(3)?