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 and water in tank (gal), y: 985,975,965,955). which tank leaks at a faster rate? tank a leaks? than tank b.

Explanation:

Step1: Identify leakage rates

Tank A's leakage rate: 11 gallons per minute (from \( y = 900 - 11x \), the coefficient of \( x \) is the rate of change, so 11 gallons/min decrease).
Tank B's leakage rate: 10 gallons per minute (from table, \( \frac{985 - 975}{1 - 0} = 10 \), or \( \frac{975 - 965}{2 - 1} = 10 \), so 10 gallons/min decrease).

Step2: Compare the rates

Since \( 11 > 10 \), Tank A leaks faster.

Answer:

faster