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

Answer 1

if it isnt any of those then there D but its a graph and i dont want to attach it :P im that tired

Answer 2

The rate of change is the numeral change between two points. You can find the Rate of Change by finding the slope.

Answer 3

For example,

Answer 4

6x – 7y = 21

We can change this into slope-intercept form(y = mx + b):

Subtract 6x to both sides:

-7y = -6x + 21

Divide -7 to both sides:

y = 6/7x + 3

Therefore, your slope for A is 6/7.

Answer 5

Can you tell what the slope for y = 2x - 2 is?

Answer 6

2

Answer 7

Yep, so the slope for B is 2.

Answer 8

Now for 3, we can find the slope between two points from the table.

Let's take (2, 7) and (3, 13):

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{13-7}{3-2}\)

Subtract:

\(m = \dfrac{6}{1}\)

Can you divide that? @RainbowBubbles01

Answer 9

6

Answer 10

Umm, the slop of y = 2x - 2 is actually -2.

Answer 11

Not 2.

Answer 12

No it isn't.

Answer 13

It's 2.

Answer 14

Anyway, the slope of A is 6/7, B is 2, and C is 6.

Answer 15

Oh, I got the slope and y-intercept mixed up. Lol.

Answer 16

So which one is bigger?

6/7, 2, or 6? @RainbowBubbles01

Answer 17

6/7?

Answer 18

thats D.

Answer 19

Well the slope of D is 4..

So we have 6/7, 2, 6, and 4.

6/7 is the same thing as 0.86

0.86 is the smallest one.

Answer 20

So which is bigger? Two, four, or six?

Answer 21

6

Answer 22

Yep, and since C is 6, that's your answer.