Question

Which function has the greatest rate of change?

A.
14x – 2y = 8

B.
y = 6x – 5

C.
x y
−2 −7
−1 −2
0 3


D.
A linear function that goes through point 1, 3 and point 0, negative 2

Answer 1

Please Help! ^.^

Answer 2

rate of change means slope :)
So you want to find the slope for each of the functions.

Answer 3

Okay! Thank You! ⌒‐⌒

Answer 4

So what would the answer be?

Answer 5

you're welcome :)
Well can you tell me what you got as the slope for each of the functions?

Answer 6

rearrange the functions to the form y = mx + b
m will be your slope

Answer 7

B is in that form already y = 6x - 5
so its slope = 6

Answer 8

okay

Answer 9

how do we solve a,c and d?

Answer 10

well rearrange A to y = mx + b form

Answer 11

Slope = 7

Answer 12

yes
now for C you need to see how y increases with unit increase of x
as x goes from -2 to -1 y does from -7 to -2
so thats a slope of ?

Answer 13

you might want to use the slope formula:
m (slope) = rise/ run
\[m = \frac{ y2 - y1 }{ x2 - x1 }\]

Answer 14

yes that will give you the slope from the points on the graph

Answer 15

you can use that for option D

Answer 16

for option C the slope is -2-(-7) / -1-(-2)

Answer 17

-7 for C?

Answer 18

no

Answer 19

how mant units is it from -7 up to -2 ?

Answer 20

5

Answer 21

right and -2 to -1 is one unit
slope = 5/1

Answer 22

now to find the slope for D plug in the points (1,3) and (0,-2) into (x2,y2) and (x1,y1) into the formula for m that butterfly dreamer posted

Answer 23

Thank You! :)

Answer 24

yw