A food company stores frozen products in a temperature-controlled warehouse. At the begining of a cooling cycle, the temperture is \(0^\circ C\). The cooling system lowers the temperature by \(3^\circ C\) every hour for \(7\) hours. During another test, the temperature changes uniformly from \(0^\circ C\) to \(-49^\circ C\) in \(7\) hours. Later, the system is adjusted to increase the temperature by \(3^\circ C\) per hour for \(6\) hours. The technicians use integers to record increases and decreases in temperature.

Answer the following questions:

(a) What integer represents the temperature change per hour during the first cooling cycle? \(^\circ C\)

(b) What is the total temperature change after 7 hours of cooling?\(^\circ C\)

(c) During the second test, the total temperature change is \(-49^\circ C\) in \(7\) hours. What is the temperature change per hour? \(^\circ C\)

(d) Starting from \(-49^\circ C\), the temperature is increased by \(3^\circ C\) per hour for 6 hours. What temperature will the chamber reach?\(^\circ C\)