Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

The point (0, 20) tells us that y = 20 when x = 0. Hence:

Simplify:

So, our exponential function is now:

Next, the point (6, 1280) tells us that y = 1280 when x = 6. Thus:

Solve for b. Divide both sides by 20:

Therefore:

Hence, our function is:

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)