A. Complete the chart based on the initial conditions:

An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How many of the ants should be alive after 4 months? (Round to the whole ant.)

Month Ant Population
(start) 1200
1
2
3
4

B. Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.

Week Mass (grams)
(start) 80
1
2
3
4

a.

b.

Step-by-step explanation:

a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form where and

#Since the population is reducing, can is obtained as

#The term is obtained using the formula , given a=1200

The number of ants alive after every month (in first 4 months)

The ant's alive after 4 months is obtained as the value of

Hence, 936 ants are alive after 4 months.

b. As with the above question, the kitten population follows a geometric sequence: .

#Since it's a growing population , the common ration is the sum of 100% + the growth rate,

and and

The population after 4weeks will be:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.