### Home > INT1 > Chapter Ch10 > Lesson 10.1.1 > Problem 10-14

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.

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Substitute the points into the equation.

3.84 = *ab*^{2}

3.072 = *ab*^{3}

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

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?

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