The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as 11.1 + 7.36 In t grams w(t) where the age of the mouse is t + 2 weeks. (a) What is the weight of 4-week-old mouse? (Round your answer to three decimal places.) grams How rapidly is its weight changing? (Round your answer to three decimal places.) grams per week (b) What is the average rate of change in the weight of the mouse between ages 3 and 7 weeks? (Round your answer to three decimal places.) grams per week (c) Does the rate at which the mouse is growing increase or decrease as the mouse gets older? Explain The rate at which the mouse is growing increases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) = /.36. As t increases, w '(t) will t increase. 7.36 11.1. As t increases, w '(t) The rate at which the mouse is growing decreases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) t will decrease. 7.36 The rate at which the mouse is growing increases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) 11.1. As t increases, w '(t) t will increase 7.36 The rate at which the mouse is growing decreases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) As t increases, w '(t) will t = decrease
The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as 11.1 + 7.36 In t grams w(t) where the age of the mouse is t + 2 weeks. (a) What is the weight of 4-week-old mouse? (Round your answer to three decimal places.) grams How rapidly is its weight changing? (Round your answer to three decimal places.) grams per week (b) What is the average rate of change in the weight of the mouse between ages 3 and 7 weeks? (Round your answer to three decimal places.) grams per week (c) Does the rate at which the mouse is growing increase or decrease as the mouse gets older? Explain The rate at which the mouse is growing increases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) = /.36. As t increases, w '(t) will t increase. 7.36 11.1. As t increases, w '(t) The rate at which the mouse is growing decreases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) t will decrease. 7.36 The rate at which the mouse is growing increases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) 11.1. As t increases, w '(t) t will increase 7.36 The rate at which the mouse is growing decreases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) As t increases, w '(t) will t = decrease
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text:The weight of a laboratory mouse between 3 and 11 weeks of age can be modeled as
11.1 + 7.36 In t grams
w(t)
where the age of the mouse is t + 2 weeks.
(a) What is the weight of
4-week-old mouse? (Round your answer to three decimal places.)
grams
How rapidly is its weight changing? (Round your answer to three decimal places.)
grams per week
(b) What is the average rate of change in the weight of the mouse between ages 3 and 7 weeks? (Round your answer to three decimal places.)
grams per week
(c) Does the rate at which the mouse is growing increase or decrease as the mouse gets older? Explain
The rate at which the mouse is growing increases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t) = /.36. As t increases, w '(t) will
t
increase.
7.36
11.1. As t increases, w '(t)
The rate at which the mouse is growing decreases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t)
t
will decrease.
7.36
The rate at which the mouse is growing increases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t)
11.1. As t increases, w '(t)
t
will increase
7.36
The rate at which the mouse is growing decreases as the mouse gets older. The rate of change in the mouse's weight is given by the formula w '(t)
As t increases, w '(t) will
t
=
decrease
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