Question

14. The ant population (P) doubles every week (n). The

formula models this growth. What would the
population be after 26 weeks? Write your answer in
scientific notation.
P = 100 x 2n
What is the initial population?

Answer 1

P = 5,200

P = 5.2 × 10³

Explanation:

Given:

P = 100 x 2n

Where,

P = population

n = number of weeks

What would the population be after 26 weeks?

P = 100 x 2n

= 100 × 2(26)

= 100 × 52

= 5, 200

P = 5,200

In scientific notation,

P = 5.2 × 10³

What is the initial population?

P = 100 x 2n

When n = 1

P = 100 x 2n

= 100 × 2(1)

= 100 × 2

= 200