A local business has a Cost function given by of students enrolled. Find the average rate of change when the number of students enrolled is between x = 950 a x = 1090. Make sure to write the correct units. (Round your answer to 2 decimal places. 0.78 dollars per student None of these = 30 + 50√ dollars, where x is the nu O 1.15 dollars per student 0.78 dollars per book 1.15 dollars per book
A local business has a Cost function given by of students enrolled. Find the average rate of change when the number of students enrolled is between x = 950 a x = 1090. Make sure to write the correct units. (Round your answer to 2 decimal places. 0.78 dollars per student None of these = 30 + 50√ dollars, where x is the nu O 1.15 dollars per student 0.78 dollars per book 1.15 dollars per book
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Cost Function Analysis for Enrollment**
A local business has a cost function represented by:
\[ C(x) = 30 + 50\sqrt{x} \]
where \( x \) is the number of students enrolled, and \( C(x) \) is measured in dollars.
**Problem Statement:**
Find the average rate of change in the cost when the number of students enrolled increases from \( x = 950 \) to \( x = 1090 \).
**Details:**
Ensure the final answer is expressed with the correct units and rounded to two decimal places.
**Answer Options:**
1. \( \diameter \) 0.78 dollars per student
2. \( \diameter \) None of these
3. \( \diameter \) 1.15 dollars per student
4. \( \diameter \) 0.78 dollars per book
5. \( \diameter \) 1.15 dollars per book
Calculate the average rate of change using the provided function and give your answer in dollars per student. Select the most accurate answer from the options provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F926c3fce-ea0b-442b-8045-2d4039975256%2Fa8835a25-e0be-4206-8463-18baa2b17e96%2Fxjwq53g_processed.png&w=3840&q=75)
Transcribed Image Text:**Cost Function Analysis for Enrollment**
A local business has a cost function represented by:
\[ C(x) = 30 + 50\sqrt{x} \]
where \( x \) is the number of students enrolled, and \( C(x) \) is measured in dollars.
**Problem Statement:**
Find the average rate of change in the cost when the number of students enrolled increases from \( x = 950 \) to \( x = 1090 \).
**Details:**
Ensure the final answer is expressed with the correct units and rounded to two decimal places.
**Answer Options:**
1. \( \diameter \) 0.78 dollars per student
2. \( \diameter \) None of these
3. \( \diameter \) 1.15 dollars per student
4. \( \diameter \) 0.78 dollars per book
5. \( \diameter \) 1.15 dollars per book
Calculate the average rate of change using the provided function and give your answer in dollars per student. Select the most accurate answer from the options provided.
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