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anonymous

  • 5 years ago

A colony of insects grows exponentially from 100 to 146 in one week. How many DAYS does it take for the population to reach 1300?

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  1. amistre64
    • 5 years ago
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    146/100 = 1.46; so it inceases at 146% in 7 days eh....

  2. amistre64
    • 5 years ago
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    or is that 46% :)

  3. Yuki
    • 5 years ago
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    You do something similar with the ozone one let me just leave the formula since amistre can help you with the concept\[N_t = N_0(1.46)^{t/7}\]

  4. amistre64
    • 5 years ago
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    7 days = 1/2x{0} + x{0} = x{n+1} x{1} = 100(1.5) = 150 x{2} = 150(1.5) = ......is that what i was missing last time the 1?

  5. amistre64
    • 5 years ago
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    ...... good job yuki :)

  6. anonymous
    • 5 years ago
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    Ok, so the equation should look like 1300= 100(1.46)^(t/7).....right?

  7. amistre64
    • 5 years ago
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    yes

  8. anonymous
    • 5 years ago
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    moving on, I should get to (log 13/log 1.46) = t/7.......right?

  9. anonymous
    • 5 years ago
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    Which gives me 47.44, so the answer is c?

  10. anonymous
    • 5 years ago
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    c is 47, sorry I forgot its not on here

  11. Yuki
    • 5 years ago
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    remidia, since I don't know what the answer choices are I cannot say this by 100%, but it takes exactly 7*ln13/ln1.46 days to reach 1300. Which means that if it is any less than that you still haven't reached 1300. so, if there, by any chance, were two solutions 47 days or 48 days, make sure to pick 48 days, ok ?

  12. anonymous
    • 5 years ago
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    Ok, thank you!

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