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The total profit (in dollars) from the sale of x cell phones is P(x) = 15x – x² – 70 for 0

The total profit (in dollars) from the sale of x cell phones is P(x) = 15x – x² – 70 for 0

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
The total profit (in dollars) from the sale of x cell phones is P(x) = 15x -x² - 70 for 1 .2 4 0<x<60. Let P(50) = 55. a) Find P'(50) and write a sentence to explain the meaning of this number in terms of the change in profit and cell phones. b) Use the values of P(50) and P'(50) to estimate the value of P(54). Hint: Recall that P(50) = 55 and you found P'(50) in part a.
Transcribed Image Text:The total profit (in dollars) from the sale of x cell phones is P(x) = 15x -x² - 70 for 1 .2 4 0<x<60. Let P(50) = 55. a) Find P'(50) and write a sentence to explain the meaning of this number in terms of the change in profit and cell phones. b) Use the values of P(50) and P'(50) to estimate the value of P(54). Hint: Recall that P(50) = 55 and you found P'(50) in part a.
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