Solve each equation in Exercises 73-81 by the method of your choice. One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.) Source: State Higher Education Executive Others Association The mathematical model G = − 82 x 2 + 410 x + 7079 Describes government aid per college student, G, x years after 2005. a. Does the model underestimate or overestimate aid per student in 2011? By how much? b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
Solve each equation in Exercises 73-81 by the method of your choice. One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.) Source: State Higher Education Executive Others Association The mathematical model G = − 82 x 2 + 410 x + 7079 Describes government aid per college student, G, x years after 2005. a. Does the model underestimate or overestimate aid per student in 2011? By how much? b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
Solution Summary: The author explains how the model overestimates or underestimates aid per student in 2011 and by underset_13.
Solve each equation in Exercises 73-81 by the method of your choice.
One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.)
Source: State Higher Education Executive Others Association
The mathematical model
G
=
−
82
x
2
+
410
x
+
7079
Describes government aid per college student, G, x years after 2005.
a. Does the model underestimate or overestimate aid per student in 2011? By how much?
b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
Determine whether statement makes sense or does not make sense, and explain your reasoning.My mathematical model describes the data for tuition and fees at public four-year colleges for the past ten years extremely well, so it will serve as an accurate prediction for the cost of public colleges in 2050.
Each time you get dimes or quarters for change, you throw them into a jar. You are hoping to save $50. Write a model that shows the different numbers of dimes and quarters that you could accumulate to reach your goal.
The bar graph gives the average atmospheric concentration of carbon dioxide.
a. Estimate the yearly increase in the average atmospheric concentration of carbon dioxide. Express the answer in parts per million.
b. Write a mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950.
c. If the trend shown by the data continues, use your mathematical model from part (b) to project the average atmospheric concentration of carbon dioxide in 2030.
Average Atmospheric Concentration of Carbon
Dioxide
500-
314 320 329 341 354 368 389 397
300-
400-
200-
100-
19501960 197019801990200020102015
a. The yearly increase in the average atmospheric concentration of carbon dioxide is approximately
ppm per year.
(Round to the nearest tenth as needed.)
b. A mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950 is C =
(Use integers or decimals for any…
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