At noon one day, the Exeter River peaked at 11 feet above flood stage. It then began to recede, its depth dropping at 4 inches per hour.

(a) At 3:30 that afternoon, how many inches above flood stage was the river?

(b) Let \(t\) stand for the number of hours since noon, and \(h\) stand for the corresponding number of inches that the river was above flood stage. Make a table of values, and write an equation that expresses \(h\) in terms of \(t\).

(c) Plot \(h\) versus \(t\), putting \(t\) on the horizontal axis.

(d) For how many hours past noon was the river at least 36 inches above flood stage?

At noon one day, the Exeter River peaked at 11 feet above flood stage. It then began to recede, its depth dropping at 4 inches per hour.

(a) At 3:30 that afternoon, how many inches above flood stage was the river?

(b) Let \(t\) stand for the number of hours since noon, and \(h\) stand for the corresponding number of inches that the river was above flood stage. Make a table of values, and write an equation that expresses \(h\) in terms of \(t\).

(c) Plot \(h\) versus \(t\), putting \(t\) on the horizontal axis.

(d) For how many hours past noon was the river at least 36 inches above flood stage?