Sheet # 71/Exponents
Name: _____________________ Date_____________
Show your work.
1) The number of people in a town doubles every month. If there are 600 people now, how long will it take for the populaton to grow to 9600?
2) The number of ants in a colony doubles every day. If there are 500 ants now, about how long would it take for the colony to grow to 16,000.
3) The number of pages Hector reads doubles every day. How long would him take to read a 256-page book?
Answers for sheet # 71
1)
Let us assume on
April 1: 600 people
May 1: 1200 people
June 1: 2400
July 1: 4800
August 1: 9600
It will take 4 months to reach 9600
600 x 2 raise to the power n = 9600
n is the number of months. We have to use 2 because it doubling.
You will get n = 4
2)
Let us assume
Monday 9am: 500 ants
Tuesday 9am: 1000 ants
Wednesday 9am: 2000
Thursday 9am: 4000
Friday 9am: 8000
Saturday 9am: 16000
5 days to reach 16,000
500 x 2 raise to the power of n = 16000
n is the number of days. We have to use 2 because it doubling.
n = 5 days
3) n is the number of days it will take to read 256 pages.
2 raise to the power n = 256
n = 5
It will take him 5 days to read a 256-page .