Can you please help me with this question?
Select all of the equations that will produce exponential decay.
y = (0.1)^x
y = 2(1/4)^x
y = (3)^x
y = 1/2(5)^x
y = (2)^x
y = 3(0.4)^x
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OpenStudy (anonymous):
what do u think it is
OpenStudy (welshfella):
for decay, y will decrease in value while x increases.
OpenStudy (the_rebel_outlaw):
I think it would be
y = (0.1)^x
y = 1/2(5)^x
y = 3(0.4)^x
OpenStudy (anonymous):
thats wht i was thinking
OpenStudy (welshfella):
the number in the parentheses must be between 0 and 1 for it to be a decay
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OpenStudy (welshfella):
so y = 1/2 (5)^x is not decay
OpenStudy (the_rebel_outlaw):
so it would be
y = (0.1)^x
y = 3(0.4)^x
OpenStudy (welshfella):
theres another one you missed
OpenStudy (the_rebel_outlaw):
and y=(2)^x
OpenStudy (welshfella):
no :- 2 is not between 0 and 1
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OpenStudy (welshfella):
2^x gives growth
2^1 - = 2
2^2 = 4 etc
OpenStudy (welshfella):
there is one which has a fraction in the parentheses
OpenStudy (the_rebel_outlaw):
y=2(1/4)^x
OpenStudy (welshfella):
right
plug some values of x in and you'll see when x gets bigger y will get smaller
OpenStudy (the_rebel_outlaw):
thank you so much!!!
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