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.
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.)
1 answer
2 answers