31230_cp-module 9_data\nday | number of ants\n1 | 100\n2 | 300\n3 | 900\n4 | 2700\n5 | 8100\n6 | 24300\n27…

31230_cp-module 9_data\nday | number of ants\n1 | 100\n2 | 300\n3 | 900\n4 | 2700\n5 | 8100\n6 | 24300\n27. the population of a colony of ants grows with time. the table shows the population of ants on each day for 6 days. what type of data are the population of the cells as a function of time?\na. linear\nb. exponential

31230_cp-module 9_data\nday | number of ants\n1 | 100\n2 | 300\n3 | 900\n4 | 2700\n5 | 8100\n6 | 24300\n27. the population of a colony of ants grows with time. the table shows the population of ants on each day for 6 days. what type of data are the population of the cells as a function of time?\na. linear\nb. exponential

Answer

Explanation:

Step1: Check linearity (constant difference)

Day 1-2: $300-100=200$; Day2-3: $900-300=600$ (not constant)

Step2: Check exponentiality (constant ratio)

Day1-2: $300/100=3$; Day2-3: $900/300=3$; Day3-4: $2700/900=3$; Day4-5: $8100/2700=3$; Day5-6: $24300/8100=3$ (constant ratio=3)

Answer:

B. Exponential