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Home Q & A Board Science-Related Homework Help Mathematics Pre-calculus and Functions
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marinejas marinejas
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3 years ago
The population of a city has continued to grow since 1950. The
population P, in thousands, and the time t, in years, since 1950 are
given in the table below and in the graph.
a) Calculate the average rate of change in population for the following
intervals of time.
i) 0 ≤  t ≤ 20
For this I did the following:
=20-5/20-0
=15/20
=0.75 which is correct. But as I soon as I did the other ones, they were wrong.
ii) 20 ≤ t ≤ 40
iii) 40 ≤ t ≤ 60
iv) 0 ≤ t ≤ 60

b) Is the population growth constant?

c) To predict what the population will be in 2050, what assumptions
must you make?
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bio_manbio_man
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#1
Educator
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3 years ago
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marinejas Author
wrote...
#2
3 years ago
I just want to make sure but why did you choose to use 80-20/40-20?
wrote...
#3
Educator
3 years ago
it asks between 20 and 40. Look @ the y-coordinates for those years.
marinejas Author
wrote...
#4
3 years ago
So I looked at the 20 and its point was (20,20) so we cannot use that then I looked at 30 (30, 40) so then I would use 40, or 20 - 40 for the time and then I look at 40 (40,80) So then I would use 80, 40 - 20. I'm not sure this is confusing me.
wrote...
#5
Educator
3 years ago
Quote from: marinejas (3 years ago)
So I looked at the 20 and its point was (20,20) so we cannot use that then I looked at 30 (30, 40) so then I would use 40, or 20 - 40 for the time and then I look at 40 (40,80) So then I would use 80, 40 - 20. I'm not sure this is confusing me.

It's confusing you because you're looking at the table wrong. Flip is vertically, and it'll start to make more sense.

This should settle the score:
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marinejas Author
wrote...
#6
3 years ago
ohh okay got it now, can't believe I didn't know that
wrote...
#7
Educator
3 years ago
Quote from: marinejas (3 years ago)
ohh okay got it now, can't believe I didn't know that

Always first row represents x, second row represents y.

GL
marinejas Author
wrote...
#8
3 years ago
Yes, and also I think you were wrong with the ppl/year. For i) it's 750ppl/year, ii)3,000ppl/year, iii) is right, iv) 5,250ppl/year
wrote...
#9
Educator
3 years ago
Correct, I thought it was 10,000, apparently it reads 1,000

Sorry!
marinejas Author
wrote...
#10
3 years ago
It's okay! But wouldn't that mean the population in 2050 is 525,000?
wrote...
#11
Educator
3 years ago
yes
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