Question 1 (1 point) Saved
Which of the following data sets is best described by a linear model?
{(5, 1), (4,0), (3, 1), (2, 4)}
{(5, 1), (4, 2), (3, 4), (2,8)}
{(5,1),(4, -1), (3,-3), (2,-5)
{(5, 12), (4, 6), (3, 3), (2, 1.5)}

A linear model can describe a data set in this way: When the data set is graphed, the points go in a straight line.

Attached are graphs of each data set, colored red, blue, green, and orange (in that order).

As you can see, the third data set can be represented with a straight line, while the others cannot.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: