Is the following relation linear, quadratic, or cubic? If it is linear, find the equation. Explain your reasoning and include all of your work in your final answer.

p = {( x, y ) : (1, 0), (2, 4), (3, 8), (4, 12), . . . }

Question

contestada

Respuesta :

joaobezerra joaobezerra · Answer 1 · 2022-09-14T18:38:30+02:00

Since the rate of change is constant, the relation is linear, and is modeled by:

y = 4x - 4.

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that when x changes by 1, y always changes by 4, hence we have a linear relation with a slope of 4, given as follows:

y = 4x + b

When x = 1, y = 0, hence we use it to find b as follows:

0 = 4 + b

b = -4.

Hence the relation is:

y = 4x - 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1