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The value of a collectible artifact is represented by the function
In this function, represents the number of years since 2005, and represents the value of the artifact, in dollars.
Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?
Suggested Answer: A
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The function is:
Because represents the number of years since 2005:
The average yearly rate of change from 2006 to 2011 is:
First, find :
Now find :
Now calculate the average rate of change:
Rounded to two decimal places:
So the average yearly rate of change of the artifact's value from 2006 to 2011 is approximately:
Therefore, the correct answer is:
21 comments · newest first
LO
Louis
2 days ago
Good idea! Let’s break it down step by step.
DO
Dominga
7 days ago
Let’s just focus on the average rate of change.
LE
Lenna
12 days ago
Same here! But I think I can manage it.
UL
Ulysses
17 days ago
I’m nervous about the calculations!
LO
Louis
23 days ago
I just hope I remember the formula correctly.
DO
Dominga
28 days ago
Exactly, so we need to find the difference in value.
LE
Lenna
1 month ago
Right! From 2006 to 2011 is 5 years.
UL
Ulysses
1 month ago
But we need to calculate the change over those years.
LO
Louis
1 month ago
I’m leaning towards C) 383.81.
DO
Dominga
2 months ago
I feel like it's B) 163.26.
LE
Lenna
2 months ago
I think it's about finding the slope.
UL
Ulysses
2 months ago
This question is tricky!
IS
Isreal
2 months ago
The average rate of change is definitely a key concept here!
NI
Niesha
2 months ago
Isn't it crazy how fast collectibles can appreciate?
AN
An
2 months ago
Wait, how do we even calculate that?
LY
Lyla
3 months ago
I disagree, I feel like it's C) 383.81.
JA
Jamal
3 months ago
I think it's B) 163.26.
KI
Kiley
3 months ago
I feel like the answer should be one of the higher options since collectibles usually appreciate a lot over time.
DE
Denae
3 months ago
Wait, is the average rate of change just the difference in values divided by the difference in years? I'm not entirely sure.
ED
Edison
3 months ago
I remember a similar question where we had to find the slope between two points. I hope this one is just as straightforward!
HE
Herminia
4 months ago
I think we need to find the value of the function at 2006 and 2011, then calculate the average rate of change.