Look at the following function: x y −3 −8 −2 −6 −1 −4 0 0 matt said that the function is linear. justine said that the function is nonlinear. which of the following explains who is correct?

Solution:

The elements of a function represented in terms of ordered pairs are (x,y): (-3,-8), (-2,-6), (-1,-4), (0,0).

You can check whether a function is linear or non linear by plotting the points on coordinate plane. If there is a unique line joining all these points then function is linear otherwise no linear.

Or there is a second way , by which you can check whether the points are collinear or by finding  slope between two points using point slope formula by taking any two points given.

Slope=

As slopes are unequal , points are nonlinear.

Justine is Right , while Matt is Wrong.

Another method:

Plot the points on coordinate plane

You will find that these points does not lie on a single line , so these points are non linear.

Third method:

X coordinate = -3 = -3+1 =-2, -2 +1=-1, -1+1=0, There is a gap or width of 1 unit between each x coordinate.

Y coordinate = -8=-8 +2=-6+2=-4, -4+2= -2 , but it is 0, So there is no fixed width or gap between two y values .

So , The function is Non linear.

daren is correct because

to find the unit price of an object, you divide the price by object. you are trying to find out how much an object cost per unit.

for instance, lets say you have 50lb of ice cream(object) that cost 8.00 dollars(price). to find the unit cost, we take the 8.00 and divide it by 50, which will give us .16 cents per pound. we can check this by multiplying .16 by 50 = 8.00

so

object = e2

price = d2

unit price = c2

formula for c2:

=d2 / e2

so in my example about ice cream, we would have the following.

e2 = 50

d2 = 8.00

c2 formula:

=d2 / e2