Which function has the greatest rate of change?

A.
6x – 7y = 21

B.
y = 2x – 2

C.
x y
2 7
3 13
4 19

D.
A linear function that goes through point 1, 2 and point 0, negative 1

Question

Which function has the greatest rate of change?
 
 A.
6x – 7y = 21
 
 B.
y = 2x – 2
 
 C.
x	y
2	7
3	13
4	19
 
 
 D.
   A linear function that goes through point 1, 2 and point 0, negative 1

amistre64 · Answer

since they are all linear, define the slopes

anonymous · Answer

what do you mean?

amistre64 · Answer

i mean, for each one you will want to define the slope in order to compare them.  the slope tells us about the rate of change

anonymous · Answer

so I have to find what the slope is for each one

amistre64 · Answer

correct.

amistre64 · Answer

what do you know about finding slopes?

anonymous · Answer

ok I have to refresh quick

anonymous · Answer

y2-y1
------
x2-x1

amistre64 · Answer

slope formula is good when we are given point to play with, yes

amistre64 · Answer

so for the last 2, we could use the slope formula.

and for the first 2, we can use the form of the equation:  y = mx + b, where m is the value of the slope

amistre64 · Answer

A.
6x – 7y = 21
solving for y we get:
y = 6/7 x - 3
      ^^^
 
 B.
y = 2x – 2
      ^
 
 C.
x	y
2	7
3	13
4	19
 
13-7
----
 3-2
 

 D.
   A linear function that goes through point 1, 2 and point 0, negative 1  

 2--1
-----
  1-0

amistre64 · Answer

refresh the page to get rid of any odd diamond marks

anonymous · Answer

its good now

anonymous · Answer

C 6/1

D 1/1 which would be 1

anonymous · Answer

@amistre64

amistre64 · Answer

C = 6 and D = 3, recall that subtracting a negative is adding.

amistre64 · Answer

so, 6/7 is less than 2, so A is out

2 is less than 6 so B is out

6 is bigger than 3, so D is out :)

anonymous · Answer

so C

amistre64 · Answer

C is my pick.  6 is the biggest rate of change

anonymous · Answer

thank you