Question

two water tanks are leaking water. the equation and the table each represent the gallons of water in the tank, y, as a function of time in minutes, x. the amount of water in tank a decreases by 11 gallons per minute. the rate of change for tank a is -11. tank a: y = 900 - 11x. the amount of water in tank b decreases by 10 gallons per minute. the rate of change for tank b is -10. tank b: (table with minutes, x: 0,1,2,3; water in tank (gal), y: 985,975,965,955). which tank leaks at a faster rate? tank a leaks? than tank b.

Explanation:

Step1: Compare the rates of change

The rate of change for tank A is \(-11\) (meaning it loses 11 gallons per minute). The rate of change for tank B is \(-10\) (meaning it loses 10 gallons per minute).
Since \(11>10\) in terms of the magnitude of the rates (we are interested in how fast the water is leaving, so we consider the absolute value of the rate of change).

Answer:

Tank A leaks faster than tank B.