Question

Which function has the greatest rate of change?

A.
x y
3 3
4 6
5 9


B.
y = 4x – 7

C.
12x + 6y = 18

D.
A linear function that goes through point 1, negative 1 and point 0, 4

Answer 1

@iGreen

Answer 2

A

Answer 3

No direct answers. @invinceble

Answer 4

xD

Answer 5

For A, take two points and put them in the slope formula.

Let's take (3, 3) and (4, 6).

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

\(m = \dfrac{6-3}{4-3}\)

Subtract:

\(m = \dfrac{3}{1}\)

Can you divide that? @RainbowBubbles01

Answer 6

its 3

Answer 7

Yup.

Answer 8

Yep, so the slope for A is 3.

Answer 9

Can you tell what the slope for B is?

y = 4x – 7

Answer 10

*y = 4x - 7

Answer 11

4

Answer 12

Yep, so the slope for B is 4.

Answer 13

o

Answer 14

ok i meant

Answer 15

For C, we have to change it to slope-intercept form:

12x + 6y = 18

Subtract 12x to both sides:

6y = -12x + 18

Divide 6 to both sides:

y = -2x + 3

What's the slope of C?

Answer 16

-2

Answer 17

Yep.

Answer 18

Well the equation for D will be:

y = -5x + 4

So what's the slope?

Answer 19

-5

Answer 20

Yep, so:

A is 3
B is 4
C is -2
D is -5

Which one is the greatest?

Answer 21

b

Answer 22

Yep, so B is your answer.

Answer 23

can i ask 2 more?

Answer 24

Which function has the greatest starting value?

A.
x y
1 −3
2 −8
3 −13


B.
y = 3x – 8

C.
8x + 4y = 16

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