Grade Inflation . The bar graph shows the percentage of UScollege 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 highschool. Use this information to solve Exercises 107-108. 107. 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? 49. % overestimates by 1% b. If trends shown by the formula continue, project when57% of US. college freshmen will have and an averagegrade of A in high school 2020
Grade Inflation . The bar graph shows the percentage of UScollege 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 highschool. Use this information to solve Exercises 107-108. 107. 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? 49. % overestimates by 1% b. If trends shown by the formula continue, project when57% of US. college freshmen will have and an averagegrade of A in high school 2020
Solution Summary: The author calculates the percentage of U.S. college freshmen who had an average grade of A in high school in year 2010.
Grade Inflation. The bar graph shows the percentage of UScollege 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 highschool. Use this information to solve Exercises 107-108.
107. 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? 49. % overestimates by 1%
b. If trends shown by the formula continue, project when57% of US. college freshmen will have and an averagegrade of A in high school 2020
C= 57,740 – 1,158n
The equation above estimates the total number of newspapers, C, in thousand, that were sold in the United States in
the nth year after the year 2000. The number 1,158 in the equation above gives which of the following estimates?
A) Every year the circulation decreases by 1,158 newspapers.
B) Every year the circulation decreases by 1,158,000 newspapers.
C)
For every decrease of 1,158 newspapers, there are 57,740 fewer readers.
D)
For every decrease of 1,158,000 newspapers, there are 57,740 fewer readers.
Have you ever heard of Chamberlain's formula, which claims to be a model that tells you how many years you should drive your present
car before you buy a new one? If y is this number of years, then Chamberlain's formula reads
GMC
(G - M)DP
where G is the new car's gas mileage, M is your present car's gas mileage, C is the cost in dollars of the new car, D is the number of
miles you drive in a year, and P is the dollar price of gasoline per gallon.
y =
Suppose the new car's gas mileage is 36 mi/gal, the old car's gas mileage is 16 mi/gal, the price of the new car is $23,000, you drive
10,000 mi/year, and the cost of gasoline is $4.00/gal. How many years should your old car have been driven to justify buying the new
one?
yr
7- The population of a city is growing at an average rate of 3.5% per year. In 1992,
the population was 4200.
a) Write an equation that models the growth the of the city.
b) Use your equation to determine the population of the city in 2012.
c) Determine the year in which the population will have tripled.
d) In what month of that year will the population have tripled?
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