mine shaft, and after 15 minutes the equipment is 169 meters from the bottom of the mine shaft. Let y equal the distance from the bottom of the mine shaft in meters after x minutes. A) Find the slope of the line that models the data. Show your work B) Interpret the slope in the context of this situation. Write a complete sentence. C) Algebraically find the y intercept. Show your work

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A cable lowers equipment into a mine shaft. After 5 minutes the equipment is 243 meters from the bottom of the mine shaft, and after 15 minutes the equipment is 169 meters from the bottom of the mine shaft. Let y equal the distance from the bottom of the mine shaft in meters after x minutes.

A) Find the slope of the line that models the data. Show your work

B) Interpret the slope in the context of this situation. Write a complete sentence.

C) Algebraically find the y intercept. Show your work

D) Intrepret the y intercept in the contect of this situation. Write a complete sentence. 

E) Write the equation that models this situation, in slope- intercept form

F) Use the equation you found in part E to find the distance from the bottom of the mine shaft after 23 minutes. Show your work 

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