Question

Exponential function

Answer 1

A typical exponential function is y=a$b^{x}$
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a$b^{3.5}$
3936.6=a$b^{6}$
divide the second equation by the first to eliminate a:
243=$b^{(6-3.5)}$
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a$* (3.6)^{3.5}$
a=0.183

please double check my calculation