Question

A graphing calculator is recommended. The relative growth rate of world population has been decre a level that the planet can support. One such logistic mode $$P(t) = \frac{76.8}{6.4 + 5.7e^{-0.02t}}$$ where t = 0 is the year 2000 and population is measured in (a) What world population does this model predict f 2220 2320 billion billion

Name: a graphing calculator is recommended the relative growth rate of world population has been decre a level that the planet can support one such logistic mode pt frac76864 57e 002t where t 0 is 85658
Uploaded: 2023-07-07T11:27:27-08:00
Duration: 1 min 51 s
Channel: Donna Densmore
Description: a graphing calculator is recommended the relative growth rate of world population has been decre a level that the planet can support one such logistic mode pt frac76864 57e 002t where t 0 is 85658

          A graphing calculator is recommended.
The relative growth rate of world population has been decre
a level that the planet can support. One such logistic mode
$$P(t) = \frac{76.8}{6.4 + 5.7e^{-0.02t}}$$
where t = 0 is the year 2000 and population is measured in
(a) What world population does this model predict f
2220
2320
billion
billion

$a graphing calculator is recommended the relative growth rate of world population has been decre a level that the planet can support one such logistic mode pt frac76864 57e 002t where t 0 is 85658$

Added by Daniel G.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Donna Densmore

07/07/2023

Step 1

Since t = 0 corresponds to the year 2000, the value of t for the year 2220 is 2220 - 2000 = 220. Substitute t = 220 into the equation: $$P(220) = \frac{76.8}{6.4 + 5.7e^{-0.02(220)}}$$ $$P(220) = \frac{76.8}{6.4 + 5.7e^{-4.4}}$$ $$P(220) = \frac{76.8}{6.4 + Show more…

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A graphing calculator is recommended. The relative growth rate of world population has been decre a level that the planet can support. One such logistic mode $$P(t) = \frac{76.8}{6.4 + 5.7e^{-0.02t}}$$ where t = 0 is the year 2000 and population is measured in (a) What world population does this model predict f 2220 2320 billion billion