Question

An exponential function contains the points: (2,121) and (3,133.1)
What is the exponential function that contains these points?

Answer 1

y=ab^x

121= ab^2

133.1= ab^3

we divide the 2 equations

$\frac{121}{133.1} = \frac{a {b}^{2} }{a {b}^{3} }$

0.9 = b^-1

b = 1.1

121 = a (1.1)^2

121 = a × 1.21

a = 100

y=100 × ((1.1)^x) is the function