X 0 1 2 3
y 1 3 9 27
Is the relationship linear, exponential, or neither?
Choose 1

(Choice A)
A
Linear

(Choice B)
B
Exponential

(Choice C)
C
Neither

Step-by-step explanation:

Let's check for linear first.  We will do that by usingseveral of the points in the slope formula and seeing if the slope between the points is the same each time.  Using (0, 1) and (1, 3):

 then using the next 2 sets of coordinates (1, 3) and (2, 9):

So obviously this is not linear since the slope values are different.  Let's try exponential first.  We will use the first 2 coordinates to write the model and then test it out on another point.  Use (0, 1) and (1, 3) in

 so

and

a = 1.  Using that a value along with the next coordinate we will write a model:

so

b = 3.  The model then is

Let's test it out.  Sub in a 2 for x and see if we do in fact that y = 9:

and

y = 9

This is exponential.  You can try the next coordinate if you'd like, but since 3 cubed = 27, you know it works.  Choice B Exponential

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^