Write an exponential equation in the form y = abx whose graph passes through points (0, 2) and (1, 1.3)

ANSWER

The required exponential equation is



EXPLANATION

Let the equation of the exponential equation be



Since the graph passes through



it must satisfy its equation.

We substitute to obtain,



This simplifies to,



This simplifies to,



We substitute this value into the equation to get,


We apply the second point to find the value of b.

Since the graph passes through


it must also satisfy its equation.

This means that,



This implies that,



We divide both sides by 2 to get,



We substitute b back into the equation to get,