nomically efficient. One researcher studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 in enrollm pupil as a function of the number of pupils enrolled in the high school, and he found the following approximate formula, where n is the num cost, in dollars, per pupil. C=743-0.402n + 0.00012² (a) Make a graph of C versus n. 500 C400 100 500 1000 1500 2000 000 500 300 100 500 1000 1500 2000
nomically efficient. One researcher studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 in enrollm pupil as a function of the number of pupils enrolled in the high school, and he found the following approximate formula, where n is the num cost, in dollars, per pupil. C=743-0.402n + 0.00012² (a) Make a graph of C versus n. 500 C400 100 500 1000 1500 2000 000 500 300 100 500 1000 1500 2000
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:The farm population has declined dramatically in the years since World War II, and with that decline, rural school districts have been faced with consolidating in order to be
economically efficient. One researcher studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 in enrollment.+ He considered the cost
per pupil as a function of the number of pupils enrolled in the high school, and he found the following approximate formula, where n is the number of pupils enrolled and C is
the cost, in dollars, per pupil.
C=743 -0.402n + 0.00012²
(a) Make a graph of C versus n.
000
C
700-
200
C400
300
200
100
0
000
700
600
500
300
200
100
500
500
1000 1500 2000
n
1000 1500 2000
000
700
500
C400
300
200
100
0
000
700
500
C400
300
200-
100
500
500
1000
n
(b) What enrollment size gives a minimum per pupil cost?
students
1500
2000
1000 1500 2000
(c) If a high school had an enrollment of 1300, how much in per pupil cost would be saved by changing enrollment to the optimal size found in part (b)? (Round your
answer to two decimal places.)
$
per pupil
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