Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. NOW there are 78 players on the field. Whose solution is the number of players on each team

This means each team has exactly 15 players.

Step-by-step explanation:

Six teams are out on the field playing soccer.

Number of Teams = 6

The teams all have the same number of players.

Let number of players = x

Total number of players = 6x

The head coach asks for 2 players from each team to come help him move some equipment.

This meas we subtract 2 from every team. Since there are 6 teams, total number of players to be subtracted = 12

Number of players left = 6x - 12

NOW there are 78 players on the field.

This means;

78 = 6x - 12

6x = 12 + 78 = 90

x = 90 / 6 = 15

This means each team has exactly 15 players.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).