Question

Which function has the greatest rate of change?

A.
6x – 3y = 12

B.
y = 5x + 4

C.
x y
1 2
3 8
5 14

Answer 1

D. http://static.k12.com/calms_media/media/1523000_1523500/1523239/1/a98d88fe0476e60448c481fa3fbbfe7d8cf1ac9a/MS_IMC-1400831-161104.jpg

Answer 2

@iGreen can you help?

Answer 3

Rate of change is slope..

y = 5x + 4

This is in the form of y = mx + b, where 'm' is slope..so what's the slope?

Answer 4

5

Answer 5

Yep, now for the first one, we have to change it to the form y = mx + b.

6x - 3y = 12

Subtract 6x to both sides:

-3y = -6x + 12

Divide -3 to both sides:

y = 2x - 4

What's the slope here?

Answer 6

2

Answer 7

Yes, now for the 3rd one we can take any of the two points and plug them in the slope formula.

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

\(m = \dfrac{8-2}{3-1}\)

Simplify that to find the slope

Answer 8

\[\frac{ 6 }{ 2 } = 3\]

Answer 9

Yep, you got it.

So which one has the greatest slope?

Answer 10

B?

Answer 11

A had a slope of 5

B had a slope of 2

C had a slope of 3

Answer 12

what about D?

Answer 13

It has a slope of 4.

Answer 14

ok so its A

Answer 15

Yes,