Asked by lea
Data (x,y) for the total number (in thousands) of college-bound students who took a test in the year x are approximately (11,1177), (8,1493), and (11,1664), where x=1 represents 2001 and x=8 represents 2008. Find the values a, b, and c such that the equation y=ax^2 +bx+c models this data. According to this model, how many students will take the test in 2016?
a= ____
b= ____
c= ____
(Simplify your answers. Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)
According to this model ________ thousand students will take the test in 2016.
(Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)
a= ____
b= ____
c= ____
(Simplify your answers. Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)
According to this model ________ thousand students will take the test in 2016.
(Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)
Answers
Answered by
Steve
just plug in your numbers and solve for a,b,c. For example, one data point (11,1177) means that
121a+11b+c = 1177
Now write the equations for the other two points, then solve the system of equations.
But first, fix your data points, since you have two different values for x=11.
121a+11b+c = 1177
Now write the equations for the other two points, then solve the system of equations.
But first, fix your data points, since you have two different values for x=11.
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