This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercial vegetable and fruit grower carefully observes the relationship between the amount of fertilizer used on a certain variety of pumpkin and the revenue made from sales of the resulting pumpkin crop, recorded in the following table Amount of Fertilizer (pounds/acre) 250 500 750 1000 1250 1500 1750 2000 Revenue earned (dollars/acre) 96 145 172 185 192 196 198 199 The fertilizer costs $0.14 per pound. What would you advise the grower is the most profitable amount of fertilizer to use? Check your advice by answering/calculating the following. Is each pound of fertilizer equally effective? Explain. Graph the data and then estimate the maximum amount of revenue that can be earned per acre from your graph. Call this estimate k.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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This case study is about fitting data to various exponential-type functions. (Chapter 5)
A commercial vegetable and fruit grower carefully observes the relationship between the amount
of fertilizer used on a certain variety of pumpkin and the revenue made from sales of the
resulting pumpkin crop, recorded in the following table
Amount of Fertilizer (pounds/acre)
250 | 500 750 | 1000
1250
1500
1750
2000
Revenue earned (dollars/acre)
96
145 172
185
192
196
198
199
The fertilizer costs $0.14 per pound.
What would you advise the grower is the most profitable amount of fertilizer to use?
Check your advice by answering/calculating the following.
Is each pound of fertilizer equally effective? Explain.
Graph the data and then estimate the maximum amount of revenue that can be earned per
acre from your graph. Call this estimate k.
-
Transcribed Image Text:This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercial vegetable and fruit grower carefully observes the relationship between the amount of fertilizer used on a certain variety of pumpkin and the revenue made from sales of the resulting pumpkin crop, recorded in the following table Amount of Fertilizer (pounds/acre) 250 | 500 750 | 1000 1250 1500 1750 2000 Revenue earned (dollars/acre) 96 145 172 185 192 196 198 199 The fertilizer costs $0.14 per pound. What would you advise the grower is the most profitable amount of fertilizer to use? Check your advice by answering/calculating the following. Is each pound of fertilizer equally effective? Explain. Graph the data and then estimate the maximum amount of revenue that can be earned per acre from your graph. Call this estimate k. -
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