You can put this solution on YOUR website! If f(x) is an exponential function where f(1)=10 and f(6.5)=90, then find the value of f(1.5), to the nearest hundred.
:
Using the form a*b^x = y
x=1, y=10
ab = 10
a = 10/b
:
x=6.5, y=90
replace a with 10/b *
10*
divide both sides by 10
using natural logs
5.5*ln(b) = ln(9)
ln(b) =
using your calc
ln(b) = .3995
b = 1.491
find a
a = 10/1.491
a = 6.707
the equation
f(x) =
:
"find the value of f(1.5), to the nearest hundred.
f(x) =
using your calc
f(1.5) = 12.21
:
looks like this
green line is 12.21, blue line is 90