An exponential model y = a ⋅ b x passes through the points (0, 6) and (3, 162). What are the values of a and b ?

Answer 1

y = a·b^x

Plug in (0,6):

6 = a·b⁰

6 = a

Plug in (3,162):

y = 6·b^x

162 = 6·b³

27 = b³

3 = b

y = 6·3^x