Answer:

Explanation:
Note that the graph passes through the points: (0, 4), (1, 25), and (1.5, k).
The standard exponential function has the form:

The point (0, 4) tells us that y = 4 when x = 0. Therefore:

Since anything raised to zero is one:

Hence, our function is now:

The point (1, 25) tells us that y = 25 when x = 1. By substituting:

Solve for b:

Thus, our completed function is:

To find k, simply substitute 1.5 for x. This yields:

And evaluate. Hence:

In conclusion:
