Write an exponential function whose graph passes through the coordinate points (1,7.5) and (3,16.875).

Exponential function has the form y=ab^x, when x=1, y=7.5, so ab=7.5, equation1

When x=3, y=ab^3=16.875, equation 2

Let a=7.5/b, plug it in equation 2, y=7.5b^2=16.875, b=1.5

So a=7.5/1.5=5

So y=5*1.5^x

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