The graph shows the relationship between time and the number of soda bottles a machine can
make. Use the points (3,120) and (8,320) to find the number of soda bottles the machine can make
each minute.
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The slope (m) shows the variation of y with respect to x
m = (y2-y1)/(x2-x1)
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Points (x, y )
Point 1 (3, 120) ; x1 = 3; y1 = 120
Point 2 (8, 320) ; x2 = 8; y2 = 120
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Replacing in the expression of the slope
m = (320-120)/(8-3)
m = 200/ 5
m= 40 (number of soda bottles/ minute)
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The number of soda bottles the machine can make each minute is 40