Question

From an environmental study of a certain community it is estimated that there will be Q(p)=p^2 + 3p +1200 units of a harmful pollutant in the air when the population is p thousand. The population is currently 30,000 people and is increasing at the rate of 2000 people per year. At what rate is the level of air pollution increasing currently?

Answer 1

differentiate the equation and substitute p=30 and dp/dt =2

Answer 2

so....Q(p)=2p + 3
=[2(30) + 3](2)

?

Answer 3

dQ(p)/dt=2p(dp/dt )+3(dp/dt )

Answer 4

@marnie12345

Answer 5

how do u know to put the dp/dt in those spots?

Answer 6

i'm differtiating with respect to time not q

Answer 7

got it??

Answer 8

ummm....yes. I think I'm just confused as to how I would know to put dp/dt in those areas.

Answer 9

substitute n tell me wheather the answer is right

Answer 10

@marnie12345

Answer 11

I don't actually know the correct answer

Answer 12

k no problem ofcourse this is a right process

Answer 13

ok thank u.

Answer 14

welcome:)