When it was 70 degrees outside, 50 members showed up at the beach club. for each degree temperature rose, another 10 members cam
1 answer:
Answer:
Step-by-step explanation:
Let the outside temperature be degree.
So, when degree, number of members,
Now, for every degree rise in temperature, 10 members gets added.
So, when the temperature is degrees, rise in temperature is
degrees.
Therefore,
For degrees rise, number of members added =
Hence, total number of members added as a function of temperature is given as the sum of members at degrees and for
degrees rise. This gives,
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This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
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