Grades 20 A production formula for a student’s performance on a difficult English examination is given by g ( t , x ) = 4 t x − 0.2 t 2 − x 2 , where g is the grade the student can expect to get, t is the number of hours of study for the examination, and x is the student’s grade-point average. a. Calculate g t ( 10 , 3 ) and g x ( 10 , 3 ) , and interpret the results. b. What does the ratio g t ( 10 , 3 ) g x ( 10 , 3 ) tell about the relative merits of study and grade-point average?
Grades 20 A production formula for a student’s performance on a difficult English examination is given by g ( t , x ) = 4 t x − 0.2 t 2 − x 2 , where g is the grade the student can expect to get, t is the number of hours of study for the examination, and x is the student’s grade-point average. a. Calculate g t ( 10 , 3 ) and g x ( 10 , 3 ) , and interpret the results. b. What does the ratio g t ( 10 , 3 ) g x ( 10 , 3 ) tell about the relative merits of study and grade-point average?
Solution Summary: The author calculates the value of g_t(10,3) and
Grades20 A production formula for a student’s performance on a difficult English examination is given by
g
(
t
,
x
)
=
4
t
x
−
0.2
t
2
−
x
2
, where g is the grade the student can expect to get, t is the number of hours of study for the examination, and x is the student’s grade-point average.
a. Calculate
g
t
(
10
,
3
)
and
g
x
(
10
,
3
)
, and interpret the results.
b. What does the ratio
g
t
(
10
,
3
)
g
x
(
10
,
3
)
tell about the relative merits of study and grade-point average?
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.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY