Question

3. A colony of ants triple every day. If the colony has 10 insects today, How many will be

present in 30 days?

Answer 1

I think the answer is 900

Explanation:

10 x 3 = 30

30 x 30 = 900

Hope you have a wonderful day!

(Sorry if it is incorrect)

Answer 2

`6.86 * 10^(14) \textsf{ (nearest hundredth)}`

Explanation:

If a colony of ants triples every day and initial number of insects was 10 then:

Day 1 = 10

Day 2 = 3 × 10 = 30

Day 3 = 3 × 30 = 90

etc.

let t = number of days

let n = number of insects

⇒
`n = 10 \cdot 3^(t-1)`

So when t = 30:

⇒
`n = 10 \cdot 3^(30-1)`

⇒
`n = 6.86 * 10^(14) \textsf{ (nearest hundredth)}`