The data points show a plant\'s volume y (in cubic centimeters) when it has been

Question

The data points show a plant's volume y (in cubic centimeters) when it has been given an amount x of fertilizer (in milligrams) Each figure has the same data points However, each figure has a different curve fitting the data The equation for each curve is also shown Answer the questions that follow Figure 1 Figure 2 Figure 3 3000 3000 3000 2000 1000 1000 1000 10 15 20 10 15 20 10 15 20 y =-12.5X +254x+1225 y =-6.2x-+ 207x+ 2080 y =-15.9x-+ 403x+ 614 (a) Which curve fits the data best? Figure 1 Figure 2 Figure 3 (b) Use the equation of the best fitting curve from part (a) to predict the volume of the plant when it has been given 16 milligrams of fertilizer. Give an exact answer, not a rounded approximation cubic centimeters

Explanation / Answer

a) Figure 3 Curve fits the data the best

b) y = -15.9x^2 +403x +614

Whne x= 16 milligrams

find y : y = -15.9x^2 + 403*16 +614 = 2991,6 =2992 cubic cm

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