Is the relationship shown by the data linear? If so, model the data with an equation.

X Y
3 1
7 2
11 3
18 5

A.
The relationship is linear; y-2= 1/4 (x + 7)

B.
The relationship is linear; y+2 = -1/4 (X - 7)

C.
The relationship is not linear.

D.
The relationship is linear; y+2= 1/4 (X - 7)

Respuesta :

Answer:  C.  The relationship is not linear.

Step-by-step explanation:

When the rate of change  is constant of one variable is corresponding to the change in the other variable , then the relationship is said to be linear.

The rate of change is given by:-

[tex]R=\frac{\text{change in y}}{\text{change in x}}\\\Rightarrow\ R=\frac{2-1}{7-3}=\frac{1}{4}[/tex]

Also,

[tex]\\\Rightarrow\ R=\frac{5-3}{18-11}=\frac{2}{7}[/tex]

[tex]But\ \frac{1}{4}\neq\frac{2}{7}[/tex]

Therefore, the rate of change is not constant .

Hence, The relationship is not linear.

Answer: C.  The relationship is not linear.

Step-by-step explanation: