Work out the values of a, b and k ? 30 points

Step-by-step 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:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )