The following table shows the values of y for different values of x:

x y
0 0
1 1
2 4

which statement best explains whether the table represents a linear function or a nonlinear function?
a. it represents a linear function because its points are on a straight line.
b. it represents a nonlinear function because its points are not on a straight line.
c. it represents a linear function because its points are not on a straight line.
d. it represents a nonlinear function because its points are on a straight line.

Option B. It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

Let

we know that

If point A,B and C are on a straight line

then

The slope of AB must be equal to the slope of AC

The formula to calculate the slope between two points is equal to

Find the slope AB

substitute in the formula

Find the slope AC

substitute in the formula

so

Points A, B and C are not on a straight line

therefore

It represents a nonlinear function because its points are not on a straight line

d 600 because 15*10*2=300

300+300=600

step-by-step explanation:

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct