Homework Help is Here – Start Your Trial Now!
Math
Calculus
A productivity formula for a student's performance on a basket-weaving examination is g = 12tx – 0.2t² – 10x2 (t < 10), where g is the score the student can expect to obtain, t is the number of hours of study for the examination, and x is the student's grade-point average. (a) For how long should a student with a 3.0 grade-point average study to score 80 on the examination? (Round your answer to two decimal places.) t = 4 hr dt - for a student who earns a score of 80, evaluate it when x = 3.0. (Round your answer to four decimal places.) dx (b) Find dt hr per grade point %3D dx Interpret the result. Note that this is positive, implying that the required study hours increases as the grade point average increases. This means that, for a 3.0 student who scores 80 on the examination, a 1.0 grade point is worth hours more study time. In other words, the higher your GPA, the harder you have to study for the test!

A productivity formula for a student's performance on a basket-weaving examination is g = 12tx – 0.2t² – 10x2 (t < 10), where g is the score the student can expect to obtain, t is the number of hours of study for the examination, and x is the student's grade-point average. (a) For how long should a student with a 3.0 grade-point average study to score 80 on the examination? (Round your answer to two decimal places.) t = 4 hr dt - for a student who earns a score of 80, evaluate it when x = 3.0. (Round your answer to four decimal places.) dx (b) Find dt hr per grade point %3D dx Interpret the result. Note that this is positive, implying that the required study hours increases as the grade point average increases. This means that, for a 3.0 student who scores 80 on the examination, a 1.0 grade point is worth hours more study time. In other words, the higher your GPA, the harder you have to study for the test!

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
See similar textbooks
icon
Related questions
Question
A productivity formula for a student's performance on a basket-weaving examination is g = 12tx – 0.2t² – 10x2 (t < 10), where g is the score the student can expect to obtain, t is the number of hours of study for the examination, and x is the student's grade-point average. (a) For how long should a student with a 3.0 grade-point average study to score 80 on the examination? (Round your answer to two decimal places.) t = 4 hr dt - for a student who earns a score of 80, evaluate it when x = 3.0. (Round your answer to four decimal places.) dx (b) Find dt hr per grade point %3D dx Interpret the result. Note that this is positive, implying that the required study hours increases as the grade point average increases. This means that, for a 3.0 student who scores 80 on the examination, a 1.0 grade point is worth hours more study time. In other words, the higher your GPA, the harder you have to study for the test!
Transcribed Image Text:A productivity formula for a student's performance on a basket-weaving examination is g = 12tx – 0.2t² – 10x2 (t < 10), where g is the score the student can expect to obtain, t is the number of hours of study for the examination, and x is the student's grade-point average. (a) For how long should a student with a 3.0 grade-point average study to score 80 on the examination? (Round your answer to two decimal places.) t = 4 hr dt - for a student who earns a score of 80, evaluate it when x = 3.0. (Round your answer to four decimal places.) dx (b) Find dt hr per grade point %3D dx Interpret the result. Note that this is positive, implying that the required study hours increases as the grade point average increases. This means that, for a 3.0 student who scores 80 on the examination, a 1.0 grade point is worth hours more study time. In other words, the higher your GPA, the harder you have to study for the test!
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS