Question

The population of squid in the tropical zone of the ocean is recorded in the table.


Years after 1980 0 3 4 7 10 15 20 30 33
Population in thousands 10 20 35 60 125 250 500 1000 1500
Part A: Determine an exponential model for the data. Show all work. (2 points)

Part B: Using the model, predict the squid population in the year 2029. Is it appropriate to make this prediction? Show all work and explain your reasoning. (2 points)

Answer 1

@mercury

Answer 2

𝙔𝙤𝙪 𝙖𝙧𝙚 𝙢𝙮 𝙛𝙧𝙞𝙚𝙣𝙙, 𝙖𝙣𝙙 𝙮𝙤𝙪𝙧 𝙖𝙡𝙬𝙖𝙮𝙨 𝙬𝙞𝙡𝙡 𝙗𝙚 𝙉𝙤𝙬, 𝙄 𝙝𝙖𝙫𝙚 𝙖 𝙜𝙖𝙢𝙚 𝙛𝙤𝙧 𝙮𝙤𝙪, 𝙞𝙩'𝙨 𝙗𝙚𝙚𝙣 𝙥𝙡𝙖𝙮𝙚𝙙 𝙨𝙞𝙣𝙘𝙚 1977. 𝙊𝙣𝙘𝙚 𝙮𝙤𝙪 𝙧𝙚𝙖𝙙 𝙩𝙝𝙞𝙨, 𝙮𝙤𝙪 𝙝𝙖𝙫𝙚 𝙩𝙤 𝙨𝙚𝙣𝙙 𝙞𝙩 𝙩𝙤 15 𝙥𝙚𝙤𝙥𝙡𝙚. 𝙔𝙤𝙪𝙧 𝙣𝙚𝙭𝙩 5 𝙙𝙖𝙮𝙨 𝙬𝙞𝙡𝙡 𝙗𝙚 𝙡𝙞𝙠𝙚 𝙩𝙝𝙞𝙨: 𝘿𝙖𝙮 1 - 𝙮𝙤𝙪 𝙬𝙞𝙡𝙡 𝙬𝙖𝙠𝙚 𝙪𝙥 𝙩𝙤 𝙩𝙝𝙚 𝙗𝙞𝙜𝙜𝙚𝙨𝙩 𝙨𝙝𝙤𝙘𝙠 𝙤𝙛 𝙮𝙤𝙪𝙧 𝙡𝙞𝙛𝙚. 𝘿𝙖𝙮 2 - 𝙮𝙤𝙪 𝙬𝙞𝙡𝙡 𝙘𝙧𝙤𝙨𝙨 𝙥𝙖𝙩𝙝𝙨 𝙬𝙞𝙩𝙝 𝙖𝙣 𝙤𝙡𝙙 𝙛𝙧𝙞𝙚𝙣𝙙 𝙮𝙤𝙪 𝙝𝙖𝙫𝙚 𝙢𝙞𝙨𝙨𝙚𝙙. 𝘿𝙖𝙮 3 - 𝙮𝙤𝙪 𝙬𝙞𝙡𝙡 𝙛𝙞𝙣𝙙 𝙮𝙤𝙪𝙧𝙨𝙚𝙡𝙛 𝙬𝙞𝙩𝙝 𝙖 𝙡𝙤𝙩 𝙤𝙛 𝙢𝙤𝙣𝙚𝙮. 𝘿𝙖𝙮 4 - 𝙮𝙤𝙪𝙧 𝙙𝙖𝙮 𝙬𝙞𝙡𝙡 𝙗𝙚 𝙥𝙚𝙧𝙛𝙚𝙘𝙩. 𝘿𝙖𝙮 5 - 𝙩𝙝𝙚 𝙡𝙤𝙫𝙚 𝙤𝙛 𝙮𝙤𝙪𝙧 𝙡𝙞𝙛𝙚 𝙬𝙞𝙡𝙡 𝙠𝙞𝙨𝙨 𝙮𝙤𝙪. 𝘿𝙤𝙣'𝙩 𝙗𝙧𝙚𝙖𝙠 𝙩𝙝𝙞𝙨. 𝙎𝙚𝙣𝙙 𝙞𝙩 𝙩𝙤 14 𝙛𝙧𝙞𝙚𝙣𝙙𝙨 𝙞𝙣 10 𝙢𝙞𝙣𝙪𝙩𝙚𝙨. 𝙄𝙩'𝙨 𝙣𝙤𝙩 𝙩𝙝𝙖𝙩 𝙝𝙖𝙧𝙙. 𝙒𝙝𝙤𝙚𝙫𝙚𝙧 𝙨𝙚𝙣𝙩 𝙩𝙝𝙞𝙨 𝙩𝙤 𝙮𝙤𝙪 𝙢𝙪𝙨𝙩 𝙘𝙖𝙧𝙚 𝙖𝙗𝙤𝙪𝙩 𝙮𝙤𝙪. 𝘿𝙤𝙣'𝙩 𝙠𝙣𝙤𝙬 𝙝𝙤𝙬 𝙩𝙤 𝙨𝙚𝙣𝙙 𝙞t

Answer 3

@midnight97

Answer 4

@oliver69

Answer 5

It is going up about 10 at first then 15 then 25 so it is going up a lot and at the ending as it is going up by 500 you would add another 500 so the part B would be like 2000 or more

Answer 6

Let me check to be sure

Answer 7

This is for part A An exponential model for the given data can be formulated using the equation:
An exponential model for the given data can be formulated using the equation:
P(t)=A x C^bt
where P(t) is the population in thousands
where P(t) is the population in thousands
and t is the number of years after 1980

Answer 8

Ooh that makes sense!

Answer 9

Working on part b now

Answer 10

So as you can see from the data, the population is growing rapidly with time which means you need an exponential model. Let's take two data points to establish the growth rate here and let's use the population at 0 and the population at 30 in order to make it easiest
Let's take two data points to establish the growth rate here and let's use the population at 0 and the population at 30 in order to make it easiest
so P at 0 = 10 thousand
so P at 0 = 10 thousand
P at 30 = 1000 thousand

Answer 11

The answer was no, now I can't talk to you in dms.

Answer 12

Idk how to explain this anymore