Question

Find the exponential function y = Ce^kt that passes through the two given points.

Answer 1

Step 1:

The function is .

From the graph, the function passing through the points are .

In the function, y and t are the variable, C and k are constants.

So, find the values of C and k substituting the points.

Substitute in the function .

Apply logarithm on each side.

               equation (1)

Substitute in the function .

Apply logarithm on each side.

             equation (2)

Step 2:

Find the values of C and k.

Solve for k.

Subtract equation (2) from equation (1).

Now substitute in equation (1).

Substitute and C = 6.29 in the function .

.

Solution :

The exponential function is .