Mathematics
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OpenStudy (anonymous):
Please help i dont understand how to do this
For f(x) = 0.01(2)x, find the average rate of change from x = 3 to x = 8.
0.08
0.496
2.48
5
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OpenStudy (prettygirl_shynice):
whar u think it is
OpenStudy (anonymous):
i dont know
OpenStudy (welshfella):
find the value of f(x) when x = 3 and then when x = 8
these are labelled f(3) and f(8)
can you do that?
OpenStudy (anonymous):
so its f3=0.01(2)3?
OpenStudy (welshfella):
yes
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OpenStudy (welshfella):
though write it f(3)
OpenStudy (anonymous):
and i multiply it all together? i dont remember how to do this
OpenStudy (welshfella):
hold on I think the function is (2)^x
OpenStudy (anonymous):
it is my bad
OpenStudy (welshfella):
so f(3) = 0.01 * 2^3
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OpenStudy (anonymous):
yes sorry
OpenStudy (welshfella):
that = 0.01 * 2 * 2 * 2
OpenStudy (welshfella):
the exponent 3 means * 2 3 times
OpenStudy (anonymous):
.08?
OpenStudy (anonymous):
0.08
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OpenStudy (welshfella):
right
now do the same with x = 8
OpenStudy (welshfella):
use ur calulator for this one
OpenStudy (anonymous):
f(8)=0.01(2) ^8
OpenStudy (welshfella):
thats right
OpenStudy (anonymous):
256?
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OpenStudy (welshfella):
no
2^8 = 256
now multiply by 0.01
OpenStudy (anonymous):
thats what i meants
OpenStudy (welshfella):
??
OpenStudy (anonymous):
2.56
OpenStudy (welshfella):
256 8 0.01 = 2.56
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OpenStudy (welshfella):
ok
now
average rate of change = change in value of f(x) / change in value of x
= (2.56 - 0.08) / (8 - 3)
OpenStudy (anonymous):
2.48/5 0.496
OpenStudy (welshfella):
right
OpenStudy (anonymous):
okay thanks
OpenStudy (welshfella):
yw
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OpenStudy (welshfella):
plz press best respose if you are happy with the help
OpenStudy (anonymous):
sorry i got the question right thanks
OpenStudy (welshfella):
yw