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ayoismeisjjjjuan
04.02.2020 •
Mathematics
The ebola virus has an infection rate of 11% per day as compared to the sars virus, which has a rate of 4% per day. if there were one case of ebola and 30 cases of sars initially reported to the authorities and cases are reported each day, which statement is true?
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Ответ:
3) At day 10 there are more SARS cases, but at day 53 there are more Ebola cases.
Step-by-step explanation:
First let's get our variables.
Ebola Rate = 11% or 0.11
SARS Rate = 4% or 0.04
x = number of days
Let Ebola = e(x)
Let SARS = s(x)
So the total number of cases are:
e(x) =![1(1.11)^{x}](/tpl/images/0501/0310/c407a.png)
s(x) =![30(1.04)^{x}](/tpl/images/0501/0310/8000c.png)
At day 10:
e(10) =![1(1.11)^{10}](/tpl/images/0501/0310/0aff0.png)
e(10) =![1(2.84)](/tpl/images/0501/0310/bccda.png)
e(10) =![2.84](/tpl/images/0501/0310/06046.png)
s(10) =![30(1.04)^{10}](/tpl/images/0501/0310/ec367.png)
s(10) =![30(1.48)](/tpl/images/0501/0310/0676e.png)
s(10) =![44.41](/tpl/images/0501/0310/f1400.png)
So at day 10 the number of cases of Ebola will be 2 and SARS at 44.
At day 53:
e(53) =![1(1.11)^{53}](/tpl/images/0501/0310/30853.png)
e(53) =![1(252.42)](/tpl/images/0501/0310/71218.png)
e(53) =![252.42](/tpl/images/0501/0310/1ff12.png)
s(53) =![30(1.04)^{53}](/tpl/images/0501/0310/6d270.png)
s(53) =![30(7.99)](/tpl/images/0501/0310/043b2.png)
s(53) =![239.82](/tpl/images/0501/0310/02d21.png)
By day 53, Ebola will overtake SARS at 252 cases to 239 cases.
Ответ:
I think so with everything he’s out me through he better love me