Help! Question from Maths in Focus Challenge Exercise 6 - Applications of Calculus (2 Viewers)

[weedinmygarden]

5. The population of a flock of birds over t years is given by the formula P = P_oe^0.0151t

b) What will be the percentage increase in population after 10 years to the nearest per cent?

Had no problem with part a, just need b. Thanks in advance.

 

[sida1049]

Re: Help! Question from Maths in Focus Challenge Exercise 6 - Applications of Calculu

Find P when t = 10 in terms of P_0, then divide over by the initial population P_0, and multiply by 100 for the percentage.

Your answer should be 100e^(0.151) % to the nearest percent.

Edit: Integrand spotted my mistake of not giving the answer in terms of a percentage increase, which the question actually asks for.

 

[weedinmygarden]

Re: Help! Question from Maths in Focus Challenge Exercise 6 - Applications of Calculu

Wow that was really quick!

I feel so stupid now. Thanks a lot though.

 

[InteGrand]

Re: Help! Question from Maths in Focus Challenge Exercise 6 - Applications of Calculu

Wow that was really quick!

I feel so stupid now. Thanks a lot though.

Note that it asks for the percentage increase, so the answer will be sida1049's answer minus 100%.

I.e. it is (P(10) – P_0)/(P_0), where P(10) is the population at time 10 (and then convert this to a percentage).