Which exponential function goes through the points (1, 16) and (4, 128)?

Here is the complete question (attachment).

The function which represent the given points are

Step-by-step explanation:

We know that a general exponential function is like,

We can find the answer by hit and trial method by plugging the values of coordinates.

Here we are going to solve this with the above general formula.

So as the points are then for

Can be arranged in terms of the general equation.

...equation(1) and ...equation(2)

Plugging the values in equation 2.

We have

Plugging in equation 1.

We have

Comparing with the general equation of exponential and

So the function which depicts the above points =

From theoption we have B as the correct answer.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

the answer is 62.8 cubic units