aliahauyon20
15.01.2020 •
Mathematics
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
Solved
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Ответ:
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.
__
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.
Ответ: