#6: Renting a Concert Hall The cost C (in dollars) of renting a concert hall for t hours is given by the formula C(f) = 65t + 125. A. What is the value of the y-intercept? What does the y-intercept represent in this situation? What is the value of the slope?What does the slope represent in this В. situation?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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#6: Renting a Concert Hall

The cost \( C \) (in dollars) of renting a concert hall for \( t \) hours is given by the formula:
\[ C(t) = 65t + 125. \]

A. What is the value of the \( y \)-intercept? What does the \( y \)-intercept represent in this situation?

B. What is the value of the slope? What does the slope represent in this situation?
Transcribed Image Text:#6: Renting a Concert Hall The cost \( C \) (in dollars) of renting a concert hall for \( t \) hours is given by the formula: \[ C(t) = 65t + 125. \] A. What is the value of the \( y \)-intercept? What does the \( y \)-intercept represent in this situation? B. What is the value of the slope? What does the slope represent in this situation?
Expert Solution
Step 1

The given formula is C(t)=65t+125.

A.At y-intercept t=0

   Substituting t=0 in the given formula we get C(0)=65×0+125

                                                                        C(0)=0+125

                                                                        C(0)=125.

   The value of y-intercept is 125.The y-intercept represents the fixed cost in this situation.

B.The value of slope is 65.The slope represents the variable cost of renting per hour in this situation.

 

 

 

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