Answer:
1). 300 = {Δx}{Δt}
2). 2 hours and 3 hours
Step-by-step explanation:
Let Jamie reaches at height 1500 feet after t hours and after time t' Jamie is at the height x feet.
Therefore, equation that represents elevation of Jamie will be
⇒ Rate of change in elevation e = [tex]\frac{\text{Change in height}}{\text{Change in time}}[/tex]
e = (Δx)/Δt
300 = [tex]\frac{x-0}{t-0}[/tex] [While hiking up from x = 0 and t = 0]
300 = [tex]\frac{1500-x}{t-t'}[/tex] [ While hiking down from x = 1500 and t = 0]
1). If Jamie's elevation is 600 feet while hiking down.
Then [tex]300=\frac{1500-600}{\text{Change in time}}[/tex]
Change in time = [tex]\frac{900}{300}[/tex]
= 3 hours
2). If Jamie's elevation is 600 feet while hiking up the mountain
300 = [tex]\frac{600-0}{t-0}[/tex]
t = [tex]\frac{600}{300}[/tex]
t = 2 hours
