SOLUTION: https://www.usatestprep.com/modules/gallery/files/222/22255/22255.JPG Function 2 x y 2 3 3 5 4 7 5 9 A) Function 1 has a greater rate of change by 2 Eliminate B)

Algebra ->  Graphs -> SOLUTION: https://www.usatestprep.com/modules/gallery/files/222/22255/22255.JPG Function 2 x y 2 3 3 5 4 7 5 9 A) Function 1 has a greater rate of change by 2 Eliminate B)      Log On


   

Question 1080639: https://www.usatestprep.com/modules/gallery/files/222/22255/22255.JPG
Function 2
x y
2 3
3 5
4 7
5 9
A) Function 1 has a greater rate of change by 2
Eliminate
B) Function 2 has a greater rate of change by 2
C) Function 1 has a greater rate of change by 3/2
D) Function 2 has a greater rate of change by 3/2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Function 1:
given points

(-4,+0) and (0,+2)

use these two points to find slope m:
m=%282-0%29%2F%280-%28-4%29%29=2%2F4=1%2F2
now we can find its equation even not necessary to answer your question

y=%281%2F2%29x%2Bb...use one point to find b:
y=%281%2F2%290%2B2
y=2
equation is:
y=%281%2F2%29x%2B2

Function 2
x|+y
2|+3
3|+5
4|+7
5|+9
y=mx%2Bb........use two points to find slope (rate of change)m:
2|+3,3|+5
m=%285-3%29%2F%283-2%29=2%2F1=2


y=2x%2Bb.....use one point to find b:
4|+7
7=2%2A4%2Bb
7=8%2Bb
7-8=b
b=-1
equation is: y=2x-1


Function 1 rate of change is 1%2F2 and Function 2 rate of change is 2
since 2=1%2F2%2B3%2F2 , your answer is:
D) Function 2 has a greater rate of change by 3%2F2+