MEDIUM
MYP:4-5
IMPORTANT
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In 2015, there were 3014 registered cell phone users in a small town. The number of cell phones users is estimated to increase by 42% per year. Estimate the number of cell phone users in 2025. (Round off to the nearest integer)

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Important Questions on The Power of Exponentials (Exponential Functions)

EASY
MYP:4-5
IMPORTANT

The initial population of an ant colony was approximately 600. The population grows at a rate of 12% per week. Find the growth factor of the population of ants.

EASY
MYP:4-5
IMPORTANT

The initial population of an ant colony was approximately 600. The population grows at a rate of 12% per week.

Find a function to model the population growth of the ants.

MEDIUM
MYP:4-5
IMPORTANT

The initial population of an ant colony was approximately 600. The population grows at a rate of 12% per week.

Find the approximate number of ants in the colony after 15 weeks and after 30 weeks. (Round off to nearest integer)

MEDIUM
MYP:4-5
IMPORTANT

The initial population of an ant colony was approximately 600. The population grows at a rate of 12% per week.

Graph the function. Use the graph to estimate how many weeks the ant population takes to double in size.

MEDIUM
MYP:4-5
IMPORTANT

A population of 10000 insects decreases by 9% every year.

Write down a formula and use it to calculate the number of insects left after 3 years.

MEDIUM
MYP:4-5
IMPORTANT

A population of 10000 insects decreases by 9% every year.

Write down a formula and use it to calculate the number of insects left after 10 years.

MEDIUM
MYP:4-5
IMPORTANT

A population of 10000 insects decreases by 9% every year. If the time taken for the insect population to reduce to less than half its percent size is k years, then find the value of k (rounded off and write up to 2 decimal places).

MEDIUM
MYP:4-5
IMPORTANT

Sahil's parents invest $5000 in a long-term money fund offering 4% interest compounded annually. If it will takes x years for this amount to double, then find the value of x (correct upto the nearest whole number).