An agronomist is studying fertilization for potato farming. He compares the number of tones of potatoes produced per hectare (the yield) over several parcels of land. Different levels of phosphorus fertilizer are applied to each parcel of land. The results from his experiments are represented in the following scatter plot: The agronomist determined that the equation of a regression line that passes through points (0, 23) and (190, 37) corresponds to y = 0.07x + 23. If the agronomist wants to produce approximately 60 tonnes of potatoes per hectare, what quantity of phosphorus fertilizer (kg/ha) should he use.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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An agronomist is studying fertilization for potato farming. He compares the number of tones of potatoes produced per hectare (the yield) over several parcels of land. Different levels of phosphorus fertilizer are applied to each parcel of land. The results from his experiments are represented in the following scatter plot: The agronomist determined that the equation of a regression line that passes through points (0, 23) and (190, 37) corresponds to y = 0.07x + 23. If the agronomist wants to produce approximately 60 tonnes of potatoes per hectare, what quantity of phosphorus fertilizer (kg/ha) should he use. Describe the reliability of your answer with mathematical arguments.
Potato Crop Yield
Yield
(t/ha)
55
50
45
40
35
30
25
20
50
100
150
200
250
300
350
Amount of Phosphate Fertilizer
(kg/ha)
Transcribed Image Text:Potato Crop Yield Yield (t/ha) 55 50 45 40 35 30 25 20 50 100 150 200 250 300 350 Amount of Phosphate Fertilizer (kg/ha)
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