Question

write an exponential function that passes through the points (1,3) and (2,20)

Answer 1

$y=ab^x$



we got
$3=ab^1$ and
$20=ab^2$

divide 2nd equation by first
20/3=(ab^2)/(ab)
20/3=b

sub back

$3=a \frac{20}{3}^1$
times both sides by 3/20
9/20=a


$y= (\frac{9}{20} )( \frac{20}{3})^x$