Question

Emilio bought an ant farm that had 15 ants in it already. He read somewhere that
ant populations increase 25% every week. If that is true, how many ants will be in
his farm after 12 weeks? Round to the nearest whole number. WRITE OUT THE
EQUATION OR NO CREDIT. Use the “to denote an exponent.*

Answer 1

The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * $(1 + rate of increase) ^{n}$

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants  after 12 weeks = 15* $(1 + 0.25 )^{12}$ = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.