The number of people attending graduate school at a university may be
modeled by the quadratic regression equation y = 6x2 - 30% +6, where x
represents the year. based on the regression equation, which year is the best
prediction for when 906 people will attend graduate school?
o
o
a. year 11
b. year 15
c. year 6
d. year 9
o

  B.  Year 15

Step-by-step explanation:

Along with helping you do quadratic regression, a graphing calculator can help you evaluate quadratic functions. This one has a value of 906 when x=15.

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By hand, you would set y=906 and solve for x:

  906 = 6x^2 -30x +6

  151 = x^2 -5x +1

  156.25 = x^2 -5x +6.25 . . . . . . add 5.25 to complete the square

  12.5^2 = (x -2.5)^2 . . . . . . . . . . write as squares if you like

  12.5 = x -2.5 . . . . . . take the positive square root

  15 = x . . . . . add 2.5

Year 15 is the year 906 people are predicted to attend graduate school.

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

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step-by-step explanation: