The population of sheep on an island is 170. The population of the sheep is expected to increase by 3% each year, what will the population of sheep be in 5 years time? [3 marks]

Information from question

Initial population: 170

Increase: 3% (=x1.03)

Years: 5

Method

Formula: initial value x increaseyears

170 x 1.03= 197 sheep

Proof

170 x 1.03 = 175.1 (1st year)

175.1 x 1.03 = 180.35 (2nd year)

180.35 x 1.03 = 185.76 (3rd year)

185.76 x 1.03 = 191.34 (4th year)

191.34 x 1.03 = 197.08 (5th year)

So answer is 197 sheep

Answered by Russell P. Maths tutor

2514 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is Pythagorus Theorem ? Find the length of BC if given a right angle triangle ABC where AB is 8cm and the length of the hypotenuse AC is 10cm ?


Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.


Raya buys a van for £8500 plus VAT at 20%. Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month. Find the ratio of the deposit Raya pays to the total of the 12 equal payments.


Factorise x^2 + 5x + 6


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences