MathDB

In 27,000 fertilization trials with phosphorus fertilizers, the following average average crop yields for potatoes were found:

Fertilizer \,\, application \,\,based \,\,on \,\,P2O5 (dt/ha) \ '\ crop \,\, yield \,\, (dt/ha)

0.0 \ \ 237

0.3 \ \ 251

0.9 \ \ 269

The relationship between the fertilizer application

x

(in dt/ha) and the crop yield

y

(in dt/ha), can be approximated by the following relation:

y = a - b \cdot 10^{-kx}

where

a, b

and

k

are constants. a) Calculate these constants using the values given above! b) Calculate the crop yield for a fertilizer application of

0.6

dt/ha and

1.2

dt/ha! c) Set the percentage deviation of the calculated values from those determined in the experiment values

261

dt/ha or

275

dt/ha.

Problem Statement