Problem. 6: A typing instructor has determined, through years of teaching, that students learning to type will progress at a rate given by OP dt k(70-Q) in a 20-week course, where Q(t) measures the number of words a student can type per minute after t weeks in the course. If the average student can type 30 words per minute after 10 weeks in the course, how many words can the average student type after completing the course? (Round your answer to the nearest whole number, and assume that students cannot type at all when they begin the course.) ? words per minute

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Problem. 6: A typing instructor has determined, through years of teaching, that students learning to type will progress at a rate given by
dQ
= k(70-Q)
dt
in a 20-week course, where Q(t) measures the number of words a student can type per minute after t weeks in the course. If the average student can type 30 words per
minute after 10 weeks in the course, how many words can the average student type after completing the course? (Round your answer to the nearest whole number, and
assume that students cannot type at all when they begin the course.)
? words per minute
Transcribed Image Text:Problem. 6: A typing instructor has determined, through years of teaching, that students learning to type will progress at a rate given by dQ = k(70-Q) dt in a 20-week course, where Q(t) measures the number of words a student can type per minute after t weeks in the course. If the average student can type 30 words per minute after 10 weeks in the course, how many words can the average student type after completing the course? (Round your answer to the nearest whole number, and assume that students cannot type at all when they begin the course.) ? words per minute
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