Chapter 9.7, Problem 4STP

For Exercises 1-4, choose the correct letter.

The attendances at the high school basketball games seemed to be effected by the success of the team. The graph at the right models the attendance over the first half of the season. Which function would also represent the data shown in the graph where $a$ represents the attendance and g represents the number of games the team has won?

F. $a=25{(3)}^g$

H. $a=25g^2+100$

G. $a=25g+100$

I. $a=-25g^2+100$

To determine

To find : Which function represents the data shown in the graph.

Answer to Problem 4STP

Option (G) is correct.

Explanation of Solution

Given information :

The attendance at the high school basketball seemed to be affected by the success of the tam. The graph in the question models the attendance over the first half of the season.

Calculation :

From the graph in the question, linear model is the most appropriate to model the data.

Now, in the option F is exponential function.

Option H and I are quadratic function.

Only G is the linear function.

Hence,

Option (G) is correct.