In the first 6 months of an outbreak, the total number of reported cases could be approximated by C(t) = 95.9e0.71t (0 sts 6), where t is time in months since April 1, 2014. (a) Calculate the average rates of change of C(t) over the successive 2-month periods [0, 2], [1, 3], [2, 4], [3, 5], and [4, 6]. (Round answers to two decimal places.) rate of change over [0, 2] = rate of change over [1, 3] = rate of change over [2, 4] = rate of change over [3, 5] = rate of change over [4, 6] = (b) What kind of model would best describe the successive rates of change obtained in part (a): linear, quadratic, or exponential? O linear O quadratic O exponential What does your answer you about the outbreak? (Round your answer to two decimal places.) The 2-month average rate of increase in the number of the outbreak cases increased by a factor of about each month. Enter a number.

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In the first 6 months of an outbreak, the total number of reported cases could be approximated by
C(t) = 95.9e0.71t
(0 <ts 6),
where t is time in months since April 1, 2014.
(a) Calculate the average rates of change of C(t) over the successive 2-month periods [0, 2], [1, 3], [2, 4], [3, 5], and [4, 6]. (Round answers to two decimal places.)
rate of change over [0, 2] =
rate of change over [1, 3] =
rate of change over [2, 4] =
rate of change over [3, 5]
rate of change over [4, 6] =
(b) What kind of model would best describe the successive rates of change obtained in part (a): linear, quadratic, or exponential?
linear
quadratic
O exponential
What does your answer tell you about the outbreak? (Round your answer to two decimal places.)
The 2-month average rate of increase in the number of the outbreak cases increased by a factor of about
X each month.
Enter a number.
X x x X
Transcribed Image Text:In the first 6 months of an outbreak, the total number of reported cases could be approximated by C(t) = 95.9e0.71t (0 <ts 6), where t is time in months since April 1, 2014. (a) Calculate the average rates of change of C(t) over the successive 2-month periods [0, 2], [1, 3], [2, 4], [3, 5], and [4, 6]. (Round answers to two decimal places.) rate of change over [0, 2] = rate of change over [1, 3] = rate of change over [2, 4] = rate of change over [3, 5] rate of change over [4, 6] = (b) What kind of model would best describe the successive rates of change obtained in part (a): linear, quadratic, or exponential? linear quadratic O exponential What does your answer tell you about the outbreak? (Round your answer to two decimal places.) The 2-month average rate of increase in the number of the outbreak cases increased by a factor of about X each month. Enter a number. X x x X
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