Consider the Hakosalo Residence in Oulu, Finland $\frac { 1 } { 28 }$

Consider the Hakosalo residence in Oulu, Finland.Assume that heat is lost from the house only through windows and the rate of change of temperature in °F/hr is proportional to the difference in temperature between the outside and the inside.The constant of proportionality is $\frac { 1 } { 28 }$ .Assume that it is 10°F outside constantly.On a Thursday at noon the temperature inside the house was 65°F and the heat was turned off until 5 pm.Which of the following differential equations reflects the rate of change of the temperature in the house between noon and 5 pm?

A) $\frac { d y } { d t } = - \frac { 1 } { 28 } ( y - 10 )$ , $0 \leq t \leq 5$
B) $\frac { d y } { d t } = \frac { 1 } { 28 } ( y - 10 )$ , $0 \leq t \leq 5$
C) $\frac{d y}{d t}=\frac{1}{28} y-10$ , $0 \leq t \leq 5$
D) $\frac{d y}{d t}=-\frac{1}{28} y+10$ , $0 \leq t \leq 5$