The attendance for several baseball games is shown in the table.

Which answer describes the average rate of change from game 2 to game 5?

Game Attendance (number of people)
1 654
2 680
3 702
4 732
5 755

The attendance increased by an average of 25 people per game from game 2 to game 5.

The attendance increased by an average of 75 people per game from game 2 to game 5.

The attendance increased by an average of 19 people per game from game 2 to game 5.

The attendance increased by an average of 101 people per game from game 2 to game 5.

"The attendance increased by an average of 25 people per game from game 2 to game 5"

Step-by-step explanation:

2nd game had attendance of 680

5th game had attendance of 755

THe increase in number is:

755 - 680 = 75 people

From 2nd to 5th, it is 3 games, so to find PER GAME attendance increase, we divide the increase by number of games. That is:

75/3 = 25

Hence,

"The attendance increased by an average of 25 people per game from game 2 to game 5"

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

=

x=0.8898305 is the answer to that equation