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Units: cm per minute.
Explanation: See solution.
Units: gallons per month.
Explanation: See solution.
To find the slope's unit, we have to think about how slope is calculated. The slope is the ratio of the vertical distance to the horizontal distance between two points on the graph.
Slope=Change in height/Change in time
Since the height is given in cm and time is given in minutes, we can rewrite the ratio as something more specific.
Slope=Change in cm/Change in minutes
The fraction on the right-hand side can be expressed as cm/minute
or cm per minute,
which is the slope's unit.
Since the graph is decreasing, the slope must describe how fast the water is disappearing from the tank.
Substitute ( 0,9000) & ( 10,0)
Subtract terms
Put minus sign in front of fraction
Calculate quotient
Like in Part A, The slope is the ratio of the vertical distance to the horizontal distance between two points on the graph.
Slope=Change in water amount/Change in time
Since the water amount is given in gallons, and the time is given in months, we can rewrite this to something even more specific.
Slope=Change in gallons/Change in months
The fraction on the right-hand side can be expressed as gallons/month
or gallons per month,
which is the slope's unit.
