CPM Homework Help : INT1 Problem 10-14

Write the equation of the exponential function in the form $y = ab^{x}$ passing through the points $(2, 3.84)$ and $(3, 3.072)$ . Then sketch a graph of the function.

Step 1:

Substitute the points into the equation.
$3.84 = ab^{2}$
$3.072 = ab^{3}$

Step 2:

Solve $3.84 = ab^{2}$ for $a$ , then substitute that into the other equation and solve for $b$ .

Step 3:

Once you have solved for $b$ , substitute that value back into one of the original equations and solve for $a$ .

Check your work using the eTool below. Does your equation pass through the two points plotted on the graph?
Click the link at the right to view full eTool version: Int1 10-14 HW eTool.