A volleyball team scored 14 more points in its first game than in its third game. In the second game, the team scored 28 points. The total number of points scored was less than 80. What is the greatest number of points the team could have scored in its first game?

27

Step-by-step explanation:

Let the no. of points scored in third game x

given that

A volleyball team scored 14 more points in its first game than in its third game

Then

no. of points scored in First game = x + 14

no. of points scored in Second game = 28

Total no of points scored in three games = x + x + 14 + 28 = 2x + 42

given that The total number of points scored was less than 80

thus

2x + 42 < 80

2x < 80 -42

2x < 28

x < 14

now we know that x is less than

and since x is point scored it will be integer as point cannot be in fraction

and greatest integer less than 14 will be 13

Thus, greatest point scored in third game will be 13

similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: