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 (20)/(3)^1`
times both sides by 3/20
9/20=a



`y= ((9)/(20) )( (20)/(3))^x`