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The spread of a virus is modeled by V(t) = -t° +t² + 12t, where V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.

The spread of a virus is modeled by V(t) = -t° +t² + 12t, where V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 15SE: For the following exercises, consider this scenario: A town has an initial population of 75,000. It...
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The spread of a virus is modeled by V() = - +f+ 124, %3D where V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
Transcribed Image Text:The spread of a virus is modeled by V() = - +f+ 124, %3D where V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(f) Sketch a tangent line to the graph you drew in a. at the point (2, V(2)). State the slope of the tangent line. (g) Use V(2) and V'(2) to estimate the value of V'(2.1). (h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.
Transcribed Image Text:(f) Sketch a tangent line to the graph you drew in a. at the point (2, V(2)). State the slope of the tangent line. (g) Use V(2) and V'(2) to estimate the value of V'(2.1). (h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.
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