The table shows the relationship between the number of players on a team in the minutes each player gets to play…
Players= 7,8,9,10
Minutes= 35,30,25,20
Is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear?
2 answers
The relationship is a function that is decreasing and linear.
change in y minutes = -5 , -5, -5
change in x players = 1, 1, 1
this is a linear relationship, constant slope = -5 so decreasing minutes with increasing players
min = - 5 players + b
30 = -5 *8 + b
30 = -40 + b
b = 70
so
min = -5 p + 70
check if p = 10
min = -50 + 70 = 20 sure enough
change in x players = 1, 1, 1
this is a linear relationship, constant slope = -5 so decreasing minutes with increasing players
min = - 5 players + b
30 = -5 *8 + b
30 = -40 + b
b = 70
so
min = -5 p + 70
check if p = 10
min = -50 + 70 = 20 sure enough
10 answers