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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 Change A 14x 2y 8 B Y 6x 5 C X Y 2 7 1 2 0 3 D The Graph Is Letter D class=

Sagot :

iGreen
Rate of Change is the same as Slope.

A.

[tex]\sf14x-2y=8[/tex]

Convert to slope-intercept form.

Subtract 14x to both sides:

[tex]\sf-2y=-14x+8[/tex]

Divide -2 to both sides:

[tex]\sf~y=7x-4[/tex]

So the rate of change here is 7.

B.

[tex]\sf~y=6x-5[/tex]

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

[tex]\sf~m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the numbers:

[tex]\sf~m=\dfrac{3-(-2)}{0-(-1)}[/tex]

Subtract:

[tex]\sf~m=\dfrac{5}{1}[/tex]

Divide:

[tex]\sf~m=5[/tex]

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

[tex]\sf~m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the numbers:

[tex]\sf~m=\dfrac{3-(-2)}{1-0}[/tex]

Subtract:

[tex]\sf~m=\dfrac{5}{1}[/tex]

Divide:

[tex]\sf~m=5[/tex]

So the rate of change here is 5.

Therefore, A has the greatest rate of change.
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