Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

The exponential model is .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

(1)

Where:

- Independent variable.

- Dependent variable.

- Coefficients.

If we know that and , then we get the following system of equations:

(2)

(3)

If we divide (3) by (2), we calculate the value of :

And by (2), we determine the value of :

The exponential model is .