Question

1)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
D)http://static.k12.com/calms_media/media/1523000_1523500/1523241/1/0e13f22fd8434ba8776b9a5e59dab888deeef694/MS_IMC-1400831-161106.jpg
2)Which function has the greatest rate of change?
A)x y
1 −3
2 −8
3 −13
B) y=3x-8
C)8x+4y=16
D)http://static.k12.com/calms_media/media/1523000_1523500/1523242/1/95f0fcfdba86aa93f7a0cd83672eb495ee04ca98/MS_IMC-1400831-161107.jpg

Answer 1

Look for the slopes of these equations. Higher slope will get higher change. I am solving the first one.
In choice A the slope can be found like this.
\[6x = 21 -7y\]
\[\frac{6}{7}x = \frac{21 + 7y}{7} = 3 + y\]
Coefficient of 'x' will be our slope. In this example, our slope is 6 over 7th.