A \( 600 \) gallon tank of water is full of water. The tank begins to drain at a rate of \( 15 \) gallons per minute.
(a) ( \( 3 \) points) Write a formula for a function \( W \) that gives the number of gallons of water in the tank after \( t \) minutes.
(b) ( \( 3 \) points) Find \( W ( 7 ) \) . Interpret its meaning in the context of the problem.
(c) ( \( 3 \) points) Find the \( y \) -intercept. Interpret its meaning in the context of this problem.
(d) (3 points) Find the \( x \) -intercept. Interpret its meaning in the context of this problem