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The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 + (t-83)e a) Over what interval of time during the 1-year period is the number of visitors decreasing? b) Over what interval of time during the 1-year period is the number of visitors increasing? c) Find the critical point, and interpret its meaning. 0.02t c) The critical point is (Type an ordered pair. Type integers or decimals rounded to three decimal places as needed.) Interpret what the critical point means. a) The number of visitors is decreasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) The critical point means that the number of visitors was (Round to the nearest integer as needed.) 1 b) The number of visitors is increasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) in week where t is the week and 1sts 52. at approximately visitors.

The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 + (t-83)e a) Over what interval of time during the 1-year period is the number of visitors decreasing? b) Over what interval of time during the 1-year period is the number of visitors increasing? c) Find the critical point, and interpret its meaning. 0.02t c) The critical point is (Type an ordered pair. Type integers or decimals rounded to three decimal places as needed.) Interpret what the critical point means. a) The number of visitors is decreasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) The critical point means that the number of visitors was (Round to the nearest integer as needed.) 1 b) The number of visitors is increasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) in week where t is the week and 1sts 52. at approximately visitors.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 + (t-83)e where t is the week and 1 st≤ 52. a) Over what interval of time during the 1-year period is the number of visitors decreasing? b) Over what interval of time during the 1-year period is the number of visitors increasing? c) Find the critical point, and interpret its meaning. 0.02t a) The number of visitors is decreasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) The critical point means that the number of visitors was (Round to the nearest integer as needed.) b) The number of visitors is increasing over the interval. (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) c) The critical point is (Type an ordered pair. Type integers or decimals rounded to three decimal places as needed.) Interpret what the critical point means. ▼in week at approximately ∞ visitors.
Transcribed Image Text:The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 + (t-83)e where t is the week and 1 st≤ 52. a) Over what interval of time during the 1-year period is the number of visitors decreasing? b) Over what interval of time during the 1-year period is the number of visitors increasing? c) Find the critical point, and interpret its meaning. 0.02t a) The number of visitors is decreasing over the interval (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) The critical point means that the number of visitors was (Round to the nearest integer as needed.) b) The number of visitors is increasing over the interval. (Simplify your answer. Type integers or decimals rounded to three decimal places as needed. Type your answer in interval notation.) c) The critical point is (Type an ordered pair. Type integers or decimals rounded to three decimal places as needed.) Interpret what the critical point means. ▼in week at approximately ∞ visitors.
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