Zachary's cornfields are irrigated in circular regions, Zachary records data on the com production from various irrigated circular regions Radius (ft) Bushels of corn 500 2,705 1,000 10,818 1,500 24,341 2,000 48,273 2,500 67,613 What type of function best models the given data set? A constant B. exponential C. linear D quadratic

D. about 5,000 ft

Step-by-step explanation:

Given the equation: f(x)=0.01x^2+x+0.2f(x)=0.01x

2

+x+0.2

We want to estimate what radius Zachary would need to irrigate 250,000 bushels of corn.

Substituting f(x)=5000, we have

\begin{gathered}250000=0.01x^2+x+0.2\\0.01x^2+x+0.2-250000=0\\0.01x^2+x-249999.8=0\end{gathered}

250000=0.01x

2

+x+0.2

0.01x

2

+x+0.2−250000=0

0.01x

2

+x−249999.8=0

Using the quadratic formula

x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}x=

2a

−b±

b

2

−4ac

\begin{gathered}a=0.01, b=1, c=-249999.8\\x=\dfrac{-1\pm\sqrt{1^2-4(0.01)(-249999.8)} }{2(0.01)}\\=\dfrac{-1\pm\sqrt{1+9999.992} }{0.02}\\=\dfrac{-1\pm\sqrt{10000.992} }{0.02}\\x\approx \dfrac{-1\pm100 }{0.02}\\x\approx \dfrac{-1+100 }{0.02}\: or\:\dfrac{-1-100 }{0.02}x\approx4950\: or\: -5050 \\$Therefore x\approx 5000ft\end{gathered}

The correct option is D

f(x) = y

f(-3) = -5

step-by-step explanation:

step-by-step explanation:

and 90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u

read more on -