Answered: y 100 90 80 P(x) = 95 – 30 log2 x %3D…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 15TI: Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take...

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The function P(x) = 95 - 30 log₂ x models the percentage, P(x), of students who could recall the important features of a classroom lecture as a function of time, where x represents the number of days that have elapsed since the lecture was given. The figure at the top of the next column shows the graph of the function.

Use this information to solve, After how many days do only half the students recall the important features of the classroom lecture? (Let P(x) = 50 and solve for x.) Locate the point on the graph that conveys this information. Round answers to one decimal place.

y
100
90
80
P(x) = 95 – 30 log2 x
%3D
70
60
50
40
30
20
10
1 2 3 4 5 6 7 8 9 10
Days after Lecture
Percentage Remembering
the Lecture

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