find the average rate of change from x=3 to x=15 dor the function f(x)=0.01(2)^x and select the correct answer below
A.0.08
B. 12
C. 27.3
D. 327. 68
I'm leaning towards c or D maybe D
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OpenStudy (anonymous):
@Rushwr
OpenStudy (anonymous):
ok so D
Vocaloid (vocaloid):
use the formula
rate of change = [f(15)-f(3)]/(15-3)
OpenStudy (anonymous):
or a
OpenStudy (bibby):
nope
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Vocaloid (vocaloid):
like I said, use the formula..
f(15) = ?
OpenStudy (anonymous):
not a or d
OpenStudy (bibby):
can you not follow instructions?
OpenStudy (anonymous):
Ok I thought it was C
Vocaloid (vocaloid):
please stop guessing...
f(15) = ?
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OpenStudy (anonymous):
ok then
rate of change = [f(15)-f(3)]/(15-3)
x=3 to x=15
if you use the formula the change in both should be 12
Vocaloid (vocaloid):
nope.
f(15) - f(3) = ?
OpenStudy (anonymous):
15-3=12
f12
Vocaloid (vocaloid):
nope, that's not how it works.
f(x)=0.01(2)^x
f(15) = ?
OpenStudy (anonymous):
15f
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Vocaloid (vocaloid):
no, please pay attention.
f(15) means we let x = 15, and find f(x)
what does f(x) equal when x = 15?
Vocaloid (vocaloid):
remember, f(x)=0.01(2)^x
OpenStudy (anonymous):
3? I'm terrible at math
Vocaloid (vocaloid):
x = 15
0.01(2)^x = ?
Vocaloid (vocaloid):
use a calculator if you are unsure
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OpenStudy (anonymous):
0.08 if i evaluate it with x as 3
Vocaloid (vocaloid):
no, I just said that x = 15
OpenStudy (anonymous):
ok so evaluate 0.01(2)^x = ? so x is 15?
Vocaloid (vocaloid):
yes, evaluate 0.01(2)^x when x = 15
OpenStudy (anonymous):
327.68
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Vocaloid (vocaloid):
good
so
f(15) = 327.63
f(3) = 0.08
now we can plug everything into the formula
rate of change = [f(15)-f(3)] / (15-3) = ?
OpenStudy (anonymous):
I just get f
OpenStudy (anonymous):
Evaluate f?
Vocaloid (vocaloid):
f just means a function...
we just found:
f(15) = 327.63
f(3) = 0.08
what is f(15) - f(3)?
OpenStudy (anonymous):
12f
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Vocaloid (vocaloid):
no...
Vocaloid (vocaloid):
f(15) is equal to 327.63
f(3) is equal to 0.08
what is f(15) - f(3)? the answer is NOT 12 f
OpenStudy (anonymous):
oh yeah ok
OpenStudy (anonymous):
I get 327.55
Vocaloid (vocaloid):
good, now divide that by (15-3)
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OpenStudy (anonymous):
27.2958 repeating 3
OpenStudy (anonymous):
So I can just make it 30?
Vocaloid (vocaloid):
we can round that to
27.9
Vocaloid (vocaloid):
*27.3
OpenStudy (anonymous):
oh ok
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