The Number Of Ants In A Nest Doubles Every Month. If There Are Now 600 Ants, About How Long Will It Takes For Their Number To Grow To 9600?

The number of ants in a nest doubles every month. If there are now 600 ants, about how long will it takes for their number to grow to 9600?

 

Answer:

4 months

Step-by-step explanation:

Let x be the number of ants and let 2x be the number of ants for the next month.

We are given that it starts with 600 ants and should grow to 9600 ants.

So we can start by doubling the original number of ants.

1 month = 600 x 2 = 1200 ants

2 months = 1200 x 2 = 2400 ants

3 months = 2400 x 2 = 4800 ants

4 months = 4800 x 2 = 9600 ants

Hope it helps!

~~DeanGD20


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