The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States. Source: The College Board The formula T = 21x2 + 862x + 15,552 models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending x years after 2000. Use this information to solve Exercises 131-132. a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2012. b. By how much does the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2012? c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2022.
The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States. Source: The College Board The formula T = 21x2 + 862x + 15,552 models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending x years after 2000. Use this information to solve Exercises 131-132. a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2012. b. By how much does the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2012? c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2022.
Solution Summary: The author analyzes how the model underestimates the value of the tuition fee.
The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States.
Source: The College Board
The formula
T = 21x2 + 862x + 15,552
models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending x years after 2000. Use this information to solve Exercises 131-132.
a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2012.
b. By how much does the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2012?
c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2022.
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player.
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
how much is the cak worth to mary
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
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