Given the exponential function A(x) = P(1 + r)x, what value for r will make the function a growth function?
@shamil98 @ranga
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OpenStudy (shamil98):
Don't know this one.
OpenStudy (anonymous):
@idku
OpenStudy (agent0smith):
If the 1+x is greater than 1, then it's a growth function.
For growth,
1+x > 1
If 1+x is less than 1, it's a decay function.
For decay,
1+x < 1
OpenStudy (anonymous):
r = −2.1
r = −0.1
r = 0
r = 2.1
these are the options @agent0smith
OpenStudy (shamil98):
Which of those values make
1 + x > 1
true?
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OpenStudy (agent0smith):
Well read what I wrote above, and see if you can figure it out!
OpenStudy (anonymous):
is it 0 @agent0smith
OpenStudy (agent0smith):
Just realized it should be 1+r not 1+x, but still. Shouldn't be hard to decide which numbers will make it more than 1...
you can do a few examples to help if you don't understand what we wrote above:
if r = 0.5, then
1 + 0.5 = 1.5
if r = -0.3
1 - 0.3 = 0.7
OpenStudy (agent0smith):
if r=0
1 + 0 = 1
OpenStudy (anonymous):
-2.1
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OpenStudy (agent0smith):
Are you just guessing?
OpenStudy (agent0smith):
You need 1 + r to be bigger than 1, right?
If r=-2.1, then what is 1 - 2.1 equal to?
OpenStudy (anonymous):
ohh so it would be 2.1
OpenStudy (ranga):
Yes, r should be positive to make (1+r) > 1 and that will be a growth function.