An exponential model y = a ⋅ b^x passes through the points (0, 10) and (2, 90). What are the values of a and b ?

Question

An exponential model y=a⋅b^x passes through the points (0, 10) and (2, 90). What are the values of a and b?

a=

b=

Answer 1

substu the values for the first point

10=a(b^0) since b^0=1 a=10

now use the second point 90 =10(b^2)

b^2= 90/10=9

b=3,so

a=10

b=3