_______________________________
Learning
Goal
Assessment:
Exponential
Growth Applications
Name:
r-Learning Goal: I can write an equation for an exponential growth application
1 A bee hive population doubles every month.
Initially there are 100 bees.
Write an equation for the population P of bees after m months.
.
2. A colony containing 50 moths quadruples every week.
Write an equation for the bacterial population P after w weeks.
3. The number of ants in a nest increases by 9% every day.
There are 150 ants now.
Write an equation for the ant population P after d days.
4. The population 350 birds goes up 14% every year.
Write an equation for the number of birds P after y years.
5. The average mass of a corn plant increases by 4.6% every week.
Initially a corn plant has a mass of 15g.
Write an equation for the mass of the corn plant M after w weeks.
6. The population.250 birds triples every 10 months.
Write an equation for P the population of birds after m months.
7. A population of 500 wolves doubles every 35 years.
Write an equation for the population of wolves P after y years.
8. A bank account pays an interest rate of 6% every 2 years.
You deposit $5000 into the account.
Write an equation for the balance B in the account after y years.
9. The population of the U.S. goes up 13% every 9 years.
In 2010 the population was 330 million.
Write an equation that gives the population of the
U.S. in millions, M, aftery years since 2010.
Learning Goal: I can answer questions about an exponential growth application
10. A bird colony’s population P after m months is given by the equation:
m
6
P=50(2)
(a) Quick sketch the application.
(b) How many birds are there: (i) in 4 months? (ii) in 1 year? (iii) 9 months ago?
(c) When will the population reach 1,650,000?
11. The population of Ontario M in millions y years since 1990 is given by the equation:
M =10.1(1.02)’
(a) Quick sketch the application.
(b) Determine the population of Ontario: (i) in 1 7 years (ii) in the year 2020
(c) In how many years will the population of Ontario be 24.24 million? What year is this?
I
______________________________
Learning Goal Assessment:
Exponential Growth Applications
Name:
Learning Goal: I can write an equation for an exponential growth application
1 A bee hive population doubles every month.
Initially there are 100 bees.
Write an equation for.the population P ofbees after m months.
.
(oo(2)
2. A colony containing 50 moths quadruples every week.
Write an equation for the bacterial population P after w weeks.
P 5(q’
3 The number of ants in a nest increases by 9% every day.
There are 1 50 ants now.
Write an equation for the ant population P after d days.
P
.
:
4. The population 350 birds goes up 14% every year.
Write an equation for the number of birds P after y years.
5 The average mass of a corn plant increases by 4.6% every week.
Initially a corn plant has a mass of 15g.
Write an equation for the mass of the corn plant M after w weeks.
3So(I.i4
.
M f5(/.c,)
M,
6. The population 250 birds triples every 10 months.
Write an equation for P the population ofbirds after m months.
::
7. A population of 500 wolves doubles every 35 years.
Write an equation for the population of wolves P after y years.
P
8. A bank account pays an interest rate of 6% every 2 years.
You deposit $5000 into the account.
Write an equation for the balance B in the account after y years.
e
9. The population ofthe U.S. goes up 13% every 9 years.
In 2010 the population was 330 million.
Write an equation that gives the population of the
U.S. in millions, M, aftery years since 2010.
2SO(3’
:,/3r
500(2:)
Sooo(/o)
M 33o((.13)
Learning Goal: I can answer questions about an exponential growth application
10. A bird colony’s population P after m months is given by the equation:
m
6
P=50(2)
(a) Quick sketch the application.
(b) How many birds are there: (i) in 4 months? (ii) in 1 year? (iii) 9 months ago?
(c) When will the population reach 1,650,000?
1 1 The population of Ontario M in millions y years since 1990 is given by the equation:
.
)Y
2
M =iO.i(i.O
•Z.O2FW
(a) Quick sketch the application.
(b) Determine the population of Ontario: (i) in 1 7 years (ii) in the year
(c) In how many years will the population of Ontario be 24.24 million? What year is this?
I
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