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Home > A2C > Chapter 3 > Lesson 3.2.1 > Problem 3-95


Find a possible exponential function in y = a · bx form that represents each situation described below. Homework Help ✎

  1. Has an initial value of 2 and passes through the point (3, 128).

  2. Passes through the points (0, 4) and (2, 1).

Since it has an initial value of 2, the value of a is 2.
Substitute this into the general equation: y = abx

Substitute the values 3 and 128 for x and y, respectively, then solve for b.

Create two equations substituting the values of the ordered pairs for x and y into the equation y = abx.

Solve the system of equations for a and b.

Be sure you use your results for a and b to write the equation.