Solve for X ( 9th grade Algebra 1)
2 answers:
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The population of a town has approximately doubled every 17 years since 1950.
the equation P= where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.
When t=17 yrs
P=2
for 1 year
The equation becomes
P = -------------(1)
Our original equation is
----------------------------------(2)
equating expression 1 and 2
Cancelling from both sides we get
t/17=k
⇒k=t/17 is the solution.
When in doubt, graph it.
The 3rd and 4th choices are appropriate.
_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.
The 3rd and 4th choices are appropriate.
_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.