### Home > INT2 > Chapter 12 > Lesson 12.2.3 > Problem 12-109

12-109.

An exponential function is a function of the form

*f*(*x*) =*ab*Homework Help ✎^{x }.What is the equation of an exponential function that passes through the points (1, 6) and (5, 30.375)?

What does the

*b‑*value from part (a) tell you about the function?Write a situation that could be modeled by this equation.

Substitute the points to get two equations.

6 = *ab*^{1}

30.375 = *ab*^{5}

Solve for *a* and *b*.

*f*(*x*) = 4(1.5)^{x}

Starting value should be 4.