Population Growth from a Rate Function

Question

The instantaneous growth rate of a population is modeled by the equation $$\frac{dP}{dt}=50+5t$$. If the initial population at time $$t=0$$ is $$P(0)=1000$$, which of the following expressions correctly calculates the population size at $$t=6$$ years?

Accepted Answer

$$P(6)=1000+\int_0^6 (50+5*t)\,dt = 1000+(300+90)=1390$$

Answer

$$P(6)=1000*\int_0^6 (50+5*t)\,dt$$

Answer

$$P(6)=1000+6*(50+5*6)$$

Answer

$$P(6)=\int_0^6 (50+5*t)\,dt = 390$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	andymeng14440	1	1	0m 16s	84
#2	leoguinea0611	0	1	0m 00s	-10
#3	mfarmer3183	0	1	0m 26s	-36

Population Growth from a Rate Function

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