Sue's grade in her math class is related to the number of hours she studies. The rate of change of her grade, G(t), is proportional to (100 G), where t is measured in hours and G(t) is her grade after t hours of study. The highest grade is a 100. G(0) = 60, meaning she could get a 60 without any studying. After 10 hours Sue's grade would be an 80. How many hours would Sue need to study to get an A, which is a 90 or better? Round your answer up to the nearest hour. O 12 O 20 O 25 O 30

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.182TI: The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to...
icon
Related questions
Question

Please explain how to solve, thank you!

Sue's grade in her math class is related to the number of hours she studies. The rate of change of her grade, G(t), is proportional to
(100 - G), where t is measured in hours and G(t) is her grade after t hours of study. The highest grade is a 100. G(0) = 60, meaning she
could get a 60 without any studying. After 10 hours Sue's grade would be an 80.
How many hours would Sue need to study to get an A, which is a 90 or better?
Round your answer up to the nearest hour.
O
12
20
25
30
Transcribed Image Text:Sue's grade in her math class is related to the number of hours she studies. The rate of change of her grade, G(t), is proportional to (100 - G), where t is measured in hours and G(t) is her grade after t hours of study. The highest grade is a 100. G(0) = 60, meaning she could get a 60 without any studying. After 10 hours Sue's grade would be an 80. How many hours would Sue need to study to get an A, which is a 90 or better? Round your answer up to the nearest hour. O 12 20 25 30
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning