Combined SAT scores in the United States could be approximated by
$T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025$
in the years 1964 - 1986. Here t is the number of years since 1964, and T is the combined SAT score average for the United States. Find all points of inflection of the graph of T, and interpret the result.

Enter your answers rounded to the nearest hundredth.

Question

Combined SAT scores in the United States could be approximated by
​ $T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025$ ​
in the years 1964 - 1986. Here t is the number of years since 1964, and T is the combined SAT score average for the United States. Find all points of inflection of the graph of T, and interpret the result.
​
Enter your answers rounded to the nearest hundredth.

Quizplus · Accepted Answer

The Answer of Combined SAT scores in the United States could be approximated by
​ $T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025$ ​
in the years 1964 - 1986. Here t is the number of years since 1964, and T is the combined SAT score average for the United States. Find all points of inflection of the graph of T, and interpret the result.
​
Enter your answers rounded to the nearest hundredth.

Combined SAT Scores in the United States Could Be Approximated T(t)=−0.01774t3+0.5928t2−10.91t+1025T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025T(t)=−0.01774t3+0.5928t2−10.91t+1025

Combined SAT Scores in the United States Could Be Approximated $T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025$