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8-30.

An exponential function passes through the points and . The function has a horizontal asymptote at . Write an equation for the function.

Write the general equation for this problem.

Substitute the points in for , creating two equations and two unknowns.

Subtract on both sides.
Then divide one equation by the other.

Divide the equations and solve for .

Substitute the -value back into one of the original equations and solve for .