Question

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?​

Answer 1

Answer:

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) = $1(1.11)^{x}$

s(x) = $30(1.04)^{x}$

At day 10:

e(10) = $1(1.11)^{10}$

e(10) = $1(2.84)$

e(10) = $2.84$

s(10) = $30(1.04)^{10}$

s(10) = $30(1.48)$

s(10) = $44.41$

So at day 10 the number of cases of Ebola will be 2 and SARS at 44.

At day 53:

e(53) = $1(1.11)^{53}$

e(53) = $1(252.42)$

e(53) = $252.42$

s(53) = $30(1.04)^{53}$

s(53) = $30(7.99)$

s(53) = $239.82$

By day 53, Ebola will overtake SARS at 252 cases to 239 cases.