Answer:
There will be 916 ants alive after 4 months.
Step-by-step explanation:
Step 1
Let's change the percentage to a decimal by dividing by a 100.
6.5% / 100 = .065
Step 2
So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.
1200 * .065 = 78
This means that after the first month, 1200 - 78 = 1122 ants will be alive.
Step 3
Now for the second month: 1122 * .065 = 72.93 (rounded to 73)
1122 - 73 = 1049 ants will be alive
Step 4
For the third month 1049 * .065 = 68.185 (rounded to 68)
1049 - 68 = 981 ants will be alive
Step 5
For the fourth month 981 * .065 = 63.765 (rounded to 64)
981 - 64 = 916 ants will be alive
Hope this helps!
Answer: 917 ants should be alive after 4 months.
Step-by-step explanation:
As each month goes by in the winter, 6.5% of the population dies off. It means that the population is decaying exponentially. We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the population after t months.
t represents the number of months.
P represents the initial population.
r represents rate of decay.
From the information given,
P = 1200
r = 6.5% = 6.5/100 = 0.065
t = 4 months
Therefore,
A = 1200(1 - 0.065)^4
A = 1200(0.935)^4
A = 917
