Question

The table shows the number of games a chess player won in professional competitions, based on the number of games played.

Answer 1

slope  = (25-4)/(30-10)

 slope = 21/20

slope =21/20  

using point slope form

y-y1 = m(x-x1)

y-4 = 21/20 (x-10)

y = 21/20x -21/2 +4

y = 21/20 x -21/2 +8/2

y = 21/20x -13/2

let x=40

y = 21/20 (40) -13/2

y = 42-13/2

y = 35.5 games

If we round the slope to 1

slope =1

using point slope form

y-y1 = m(x-x1)

y-4 = 1 (x-10)

y = 1x -10 +4

y =  x -6

let x=40

y = 40-6

y = 34 games