Answer: Function h(x)
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Explanation:
To compare the average rate of change (AROC) for the three functions, we'll use the formula
AROC = (p(a) - p(b))/(a-b)
where p(x) is any general function and [a,b] is the interval we care about. In this case, a = 2 and b = 4.
For f(x), we have
f(x) = (-5/2)*(3)^x
f(2) = (-5/2)*(3)^2
f(2) = -22.5
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f(x) = (-5/2)*(3)^x
f(4) = (-5/2)*(3)^4
f(4) = -202.5
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AROC = (f(a)-f(b))/(a-b)
AROC = (f(2)-f(4))/(2-4)
AROC = (-22.5-(-202.5))/(2-4)
AROC = -90
So we can rule out function f as the AROC here is -90 but we want the AROC to be -6
For g(x) we have
AROC = (g(a)-g(b))/(a-b)
AROC = (g(2)-g(4))/(2-4)
AROC = (-5-(-77))/(2-4)
AROC = -36
So we can rule out g(x) as well
For h(x) we have
AROC = (h(a)-h(b))/(a-b)
AROC = (h(2)-h(4))/(2-4)
AROC = (0-(-12))/(2-4)
AROC = -6
h(x) is the function that has the proper AROC we want
So that's why h(x) is the only answer
D. The domain would only include positive numbers
Need more information. need to see the table
Answer:
6.4 .
Step-by-step explanation:
this was on my test
1) D
(2/9) x=24
2) C
6x4=24
24=w
W=1/4(6)
3) A
67=9n
67=9n-2
9n-2=67
4) D
C+2x+x-3=56
4x=59
X=14.75
Katie payed 14.75
5) 91
Explanation: divide 18 by two and you get 9. When you add six and seven you carry on so those are your numbers. After you add you get your consecutive numbers, 91 and 92. 91 is the smallest so that is your answer
6)-18
Explanation: c+c+2=-34
2c+2-34
2x=-36
X=-18
18 is your answer
7) 17
Explanation: divide 22 is half. This is 11. 11+6=17. 17 is your answer
8)D
9)A
11-3 =x
However that isn’t an option so I would suggest to choose 3
10)D
4(17-n)=64
