Q. 25 - Precalculus Enhanced with Graphing Utilities

Question

Refer to Problem 19. Solve G(h) = 0. Provide an interpretation of this result. Find G(0). Provide an interpretation of this result.

Step-by-Step Solution

Answer

G(0) = 3.2763 and when G(h) =0 then the obtained value of h is 34.78.

Step 1. Given information

The given table in problem 19 is

Step 2. Explanation.

Refer to the model from question 19.

$G\left(h\right)=-0.0942h+3.2763$

Put G(h) = 0 in the above model.

$\begin{array}{rcl}-0.0942h+3.2763& =& 0\\ 0.0942h& =& 3.2763\\ h& =& \frac{3.2763}{0.0942}\\ & \approx & 34.78\end{array}$

The student spends 34.78 hours playing games each week, and which student has a 0 GPA.

Substitute 0 in the above model.

$G\left(0\right)=3.2763$

Thus, the average GPA is 3.2763, for those students who do not play the games.