Answer:
6) see https://brainly.com/question/18513777
7) y = 0x^2 +3x -7; (A, B, C) = (0, 3, -7); a linear equation
8) p ≈ -0.213312t^2 +2.08483t +22.9624; p(11) ≈ 20.08; between 20,000 and 20500
Step-by-step explanation:
7) The result of using a graphing calculator to find a quadratic model for the given points is shown in the first attachment. The equation is ...
y = 0x^2 +3x -7 . . . . . A, B, C = 0, 3, -7
The A coefficient of 0 tells you this is a linear equation.
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8) The quadratic regression model* found by my graphing calculator is ...
p ≈ -0.213312t^2 +2.08483t +22.9624
The "work" is shown in the second attachment. (Apparently, you have a regression tool you're supposed to use.)
Evaluating this equation for t=11 (corresponding to 11 years after 1996), we find ...
p = (-0.213312·11 +2.08483)·11 +22.9624 = -0.261602·11 +22.9624
p ≈ 20.084778 ≈ 20.08 . . . . thousands
The population in 2007 is between 20,000 and 20,500.
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* We're not sure exactly what is supposed to be rounded to 2 decimal places. Error tends to creep up if the quadratic coefficients are rounded to 2 decimal places, but you may be expected to enter your answer that way.
The population in thousands is "between 20 and 21" when rounded to 2 decimal places. It makes no sense to compute the population (in people) as 20,084.78, rounded to 2 decimal places. We have chosen 20,000-20,500 as the answer to the question about population in 2007, because the question doesn't ask for thousands.
