In an area of the midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). the data for a 9 year period is given in the table. the equation of the line of best fit for this data is y = 47.3 + 0.78x. how many bushels of wheat per acre can be predicted if it is expected that there will be 17 inches of rain? a) 5.96 b) 52.06 c) 60.56 d) 65.34

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.