According to the Center for Disease Control and Prevention, Table 1 shows the gr

Question

According to the Center for Disease Control and Prevention, Table 1 shows the growth rate of the deadly Ebola Virus and the number of deaths in a small city whose initial population was 120,000 would result from the Ebola virus if left untreated after x weeks.

x (weeks)

P (infected)

0

5714

0.5

11486

1

21968

1.5

38610

2

60128

2.5

81613

3

98185

3.5

108602

4

114332

4.5

117254

5

118687

5.5

119376

6

119705

(i)            Use the data to estimate the average growth rate of the disease from week 2 to week 4.

(ii)          Use the data to estimate the growth rate of the disease on week 4.

x (weeks)

P (infected)

0

5714

0.5

11486

1

21968

1.5

38610

2

60128

2.5

81613

3

98185

3.5

108602

4

114332

4.5

117254

5

118687

5.5

119376

6

119705

Explanation / Answer

growth rate from week 2 to week 4 = 114332-60128/2

=> growth rate = 27102

b) growth rate week 4 = 118687-114332/1

=> growth rate = 4355

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