Write the equation of the exponential function that passes through the points (1,10) and (3,40).

Question

Write the equation of the exponential function that passes through the points (1,10) and (3,40).

Answer 1

y=b^x + a

10=b^1 = b+a

40 =b^3 + a

10=b + a

30 = b^3 -b

b^3 -b -30= 0

b= about 3.215

10 =3.215+a

a = about 6.785

y=(3.215)^x + 6.785