Between 8 a.m. and 12 p.m. on a hot summer day, the temperature rose at a rate of 100F p...

Between 8 a.m. and 12 p.m. on a hot summer day, the temperature rose at a rate of 10⁰F per hour from an initial temperature of 65⁰F. At 9 a.m. the temperature of an object was measured to be 35⁰F and was, at that time, increasing at a rate of 5⁰F per hour. Show that the temperature of the object at time t was