The growth of plants in a greenhouse depends on the intensity of the lighting (as controlled by an illumination switch). Suppose some preliminary research suggests the relationship between plant growth rate P and light intensity L is given by: P(L) = 6. L7/10 eL/12 Now answer the following questions: (a) What is the growth rate in darkness (L = 0)? Number (b) As the illumination increases without bound, to what value does the growth rate converge? Number (c) Find the light setting, L, that maximizes the growth rate. L = Number

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Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The growth of plants in a greenhouse depends on the intensity of the
lighting (as controlled by an illumination switch). Suppose some
preliminary research suggests the relationship between plant growth
rate P and light intensity L is given by:
P(L) =
6. L7/10
eL/12
Now answer the following questions:
(a) What is the growth rate in darkness (L = 0)?
Number
(b) As the illumination increases without bound, to what value does the
growth rate converge?
Number
(c) Find the light setting, L, that maximizes the growth rate.
L = Number
Transcribed Image Text:The growth of plants in a greenhouse depends on the intensity of the lighting (as controlled by an illumination switch). Suppose some preliminary research suggests the relationship between plant growth rate P and light intensity L is given by: P(L) = 6. L7/10 eL/12 Now answer the following questions: (a) What is the growth rate in darkness (L = 0)? Number (b) As the illumination increases without bound, to what value does the growth rate converge? Number (c) Find the light setting, L, that maximizes the growth rate. L = Number
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