Grade Inflation. The bar graph shows the percentage of U.S. college freshmen with an average grade of A in high school. The data displayed by the bar graph can be described by the mathematical model p = 4 x 5 + 25 , where x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school. Use this information to solve Exercises 97-98 . a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much? b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
Grade Inflation. The bar graph shows the percentage of U.S. college freshmen with an average grade of A in high school. The data displayed by the bar graph can be described by the mathematical model p = 4 x 5 + 25 , where x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school. Use this information to solve Exercises 97-98 . a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much? b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
Solution Summary: The author calculates the percentage of U.S. college freshmen that had an average grade of A in high school in 2010.
Grade Inflation.The bar graph shows the percentage of U.S. college freshmen with an average grade of A in high school.
The data displayed by the bar graph can be described by the mathematical model
p
=
4
x
5
+
25
,
where x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school. Use this information to solve Exercises 97-98.
a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much?
b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
a. The predicted volume is ____ your response here cubic feet.
b. The predicted volume is ____ your response here cubic feet.
c. The predicted volume is ____ your response here cubic feet.
d. The predicted volume is ____ your response here cubic feet.
5 Patrick recorded the daily changes of the
value of a stock in dollars: -3.40, -8.09,
-2.47, 1.86, and 3.55. What was the
average daily change in the stock's value
in dollars?
Show your work.
Solution:.
The bar graph shows the average dormitory charges at public and private four-year U.S. colleges. Use the information displayed by the graph to solve,a. Use the numbers shown by the bar graph to find the total dormitory charges at private colleges for a four-year period from the school year ending in 2010 through the school year ending in 2013.
b. The model an = 198n + 5037 describes the dormitory charges at private colleges in academic year n, where n = 1 corresponds to the school year ending in 2010, n = 2 to the school year ending in 2011, and so on. Use this model and the formula for Sn to find the total dormitory charges at private colleges for a four-year period from the school year ending in 2010 through the school year ending in 2013. How does this compare with the actual sum you obtained in part (a)?
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