Jamie is hiking up a small mountain. he climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. after that, he hikes down at the same rate to the base of the mountain. the equation that models jamie’s elevation, e, after t hours is e = . jamie’s elevation will be 600 feet after hours and after hours.

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Step-by-step explanation:

What are you asking?

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 =

e = (Δx)/Δt

300 = [While hiking up from x = 0 and t = 0]

300 = [ While hiking down from x = 1500 and t = 0]

1). If Jamie's elevation is 600 feet while hiking down.

Then

Change in time =

                          = 3 hours

2). If Jamie's elevation is 600 feet while hiking up the mountain

300 =

t =

t = 2 hours

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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