SOLUTION: The table shows the relationship between the number of players on a team and the minutes each player gets to play. Players minutes 7 35 8 30 9

Algebra.Com
Question 928630: The table shows the relationship between the number of players on a team and the minutes each player gets to play.
Players minutes
7 35
8 30
9 25
10 20
Is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear?
My answer is decreasing and linear.

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
7 35
8 30
9 25
10 20
---
copy and paste the above x,y pair list in to this solver:
https://sooeet.com/math/linear-regression.php
---
equation of the best fitting line:
y = -5x + 70
---
correlation coefficient = -1
---
the absolute value of correlation coefficient = 1 so the data is perfectly linear.
the closer to zero the absolute value of the correlation coefficient, the less linear is the data
---
the sign of correlation coefficient is negative. this means the regression line has a negative slope (is decreasing)
---
answer:
the data's relationship is a decreasing linear function
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php

RELATED QUESTIONS

PLEASE HELP ME!!! A researcher is studying the relationship between the number of... (answered by stanbon)
The ratio of soccer players to baseball player on two teams is 4 to 7. Which of the... (answered by harpazo)
The amount of playing time varies inversely with the number of players. When a whole... (answered by ewatrrr)
There are 9 players on a volleyball team. Only 6 players can play at one time. The... (answered by jsmallt9)
at the conclusion of a soccer game whose two teams each include 11 players, each player... (answered by edjones)
A youth indoor soccer team has 6 starting players. The starting players must consist of 3 (answered by sudhanshu_kmr)
The following data represents the number of points scored by players on a high school... (answered by ewatrrr)
Four players scored all of the points for their team in a basketball game. Player A... (answered by Tatiana_Stebko)
in the game of roulette, a player can plave a 6$ bet on the number 21 and have a 1/38... (answered by stanbon)