MATHEMATICS MIDDLE SCHOOL

Help meh PleAse 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.
The Graph is Letter D.
Help meh PleAse Which function has the greatest rate of - 1

Answers

Answer 1
Answer: Rate of Change is the same as Slope.

A.

\sf14x-2y=8

Convert to slope-intercept form.

Subtract 14x to both sides:

\sf-2y=-14x+8

Divide -2 to both sides:

\sf~y=7x-4

So the rate of change here is 7.

B.

\sf~y=6x-5

This is already in slope-intercept form, so the rate of change here is 6.

C.

Take any two points on the graph and plug them into the slope formula.

Let's take (-1, -2) and (0, 3).
               x1  y1        x2 y2

\sf~m=(y_2-y_1)/(x_2-x_1)

Plug in the numbers:

\sf~m=(3-(-2))/(0-(-1))

Subtract:

\sf~m=(5)/(1)

Divide:

\sf~m=5

So the rate of change here is 5.

D.

Take any two points on the line and plug them into the slope formula.

Let's take (0, -2) and (1, 3)
               x1 y1        x2 y2

\sf~m=(y_2-y_1)/(x_2-x_1)

Plug in the numbers:

\sf~m=(3-(-2))/(1-0)

Subtract:

\sf~m=(5)/(1)

Divide:

\sf~m=5

So the rate of change here is 5.

Therefore, A has the greatest rate of change.

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