A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student. (a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students. (b) The budget projected 500 students at each center. Calculate the total cost at each center.(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?
A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student. (a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students. (b) The budget projected 500 students at each center. Calculate the total cost at each center.(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student.
(a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students.
(b) The budget projected 500 students at each center. Calculate the total cost at each center.
(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?
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