Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
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For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
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In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Answer: Sam = $225 George = $300
<u>Step-by-step explanation:</u>
NOTES:
Sam: s
George: g = s + 75
Together: s + g = 525
a.
The two equations that can be created are "George" and Together"
The system is:
b.
see attached graph
c.
The intersection of the two lines is at (225, 300). Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.
BONUS:
This system can also be solved algebraically using the substitution method.
Replace "g" with "s + 75" into the second equation:
s + (s + 75) = 525
2s + 75 = 525
2s = 450
s = 225
Next, input the s-value into the George equation to solve for g:
g = s + 75 = (225) + 75 = 300
Answer:
here is the answer
Step-by-step explanation:
