### Home > GB8I > Chapter 8 Unit 9 > Lesson INT1: 8.2.1 > Problem 8-96

8-96.

Write a possible exponential function in form that represents each situation described below.

Has a

‑intercept ofand passes through the point . Since it has an initial value of

, the value of is.

Substitute this into the general equation:.Substitute the values

for andfor , then solve for.Passes through the points

and . Create two equations substituting the values of the ordered pairs for

andinto the equation.Solve the system of equations for

and.Be sure you use your results for

andto write the equation.