33. a scientist is measuring the temperature change in a chemical compound. the temperature dropped 11°f per hour from the original temperature. after four hours, the temperature was 90°f. find the compound's original temperature. 34. a mountain climber ascend 800 feet per hour from his original position. after six hours, his final position is 11,600 feet above sea level. find the climbers original position.

Step-by-step explanation:

Given that temperature dropped 11 degree per hour

Rate of change of temperature with respect to one hour = -11

Let T be temp and t be time in hours.

Since rate of change is constant we have linear relation

, where C is temperature when t =0

Given that

So original temperature = C =134

34) Slope = 800

Hence if h is the height and t is time in hour,

where C is the original height

Original position = 6800 feet.