Write an exponential function in the form y=ab^x that goes through points ( 0 , 20 ) and ( 2,720).

Answer 1

y = ab^x

Using the 1st point (0, 20); 20 = ab⁰; 20 = a because b⁰ = 1

Using the 2nd point (2, 720); 720 = 20b²; b² = 720/20 = 36

So b = √36 = 6

y = 20(6)^x