Which statement best describes whether the function is linear or nonlinear?

Is nonlinear because the common ratio is 3

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.

For example, if we choose the first and second points:

(0,20) and (1, 60) the slope is:

a = (60 - 20)/(1 - 0) = 40/1 = 40

a = 40

Now if we choose the first and third points:

(0, 20) and (2, 180)

The slope is:

a = (180 - 20)/(2 - 0) = (160/2) = 80

So the slopes are different, which means that this function is nonlinear.

If we look at the f(x) values for the second point onwards, we can see that:

f(2) = 60

f(3) = 60*3 = 180

f(4) = 180*3 = 540

f(5) = 540*3 = 1620

and so on.

So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.

Having a common ratio is not a property of linear functions, then the correct options is:

"Is nonlinear because the common ratio is 3"

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation:

you should talk someone who owns the website about it. you did not deserve to have all that hard work and time taken away. id watch videos of little puppies to cool you down, and maybe some nacho cheese doritos.