Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r) dollars. a. What does it mean to say that C(2000) = 800? b. What are the units of C'(r)? c. Suppose that C(2000) = 800 and C'(2000) = 0.35. Estimate C(2100), and justify your estimate by writing at least one sentence that explains your thinking. d. Do you think C'(2000) is less than, equal to, or greater than C'(3000)? Why?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Answer only option d. Please try not to use derivatives or integrals to calculate the stuff. Thank you.
Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet
of rope is C(r) dollars.
a. What does it mean to say that C(2000) = 800?
b. What are the units of C'(r)?
c. Suppose that C(2000) = 800 and C'(2000) = 0.35. Estimate C(2100), and justify
your estimate by writing at least one sentence that explains your thinking.
d. Do you think C'(2000) is less than, equal to, or greater than C'(3000)? Why?
Transcribed Image Text:Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r) dollars. a. What does it mean to say that C(2000) = 800? b. What are the units of C'(r)? c. Suppose that C(2000) = 800 and C'(2000) = 0.35. Estimate C(2100), and justify your estimate by writing at least one sentence that explains your thinking. d. Do you think C'(2000) is less than, equal to, or greater than C'(3000)? Why?
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