Algebra-equation to model balloon's elevation as function of time (t)

AI Thread Summary
The discussion focuses on creating an algebraic equation to model the elevation of a balloon as a function of time. The balloon starts at an elevation of 158 feet above sea level and rises at a rate of 56 feet per minute. The correct equation to represent this scenario is h = 56t + 158, where h is the height and t is time in minutes. Participants confirm the equation and welcome each other to the forum. The conversation emphasizes understanding the relationship between initial height and the rate of ascent.
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Algebra--equation to model balloon's elevation as function of time (t)

Homework Statement



Balloon takes off from a location 158ft. above sea level. it rises 56 ft/min.

Please help me write an equation to model balloon's elevation h as function of time t

Homework Equations





The Attempt at a Solution



t=158h + 56
 
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Let's take this one step at a time. You know the formula for modeling something that changes with time is F(t) = Changing Variable times t + Initial State, right?

If you know the Initial State (Height) of the Balloon, then what else needs to be placed in the function?

Set F(t) to the height.
Set time to t.
Set Initial State to 158.

So far we got h = ? + 158

What are we missing?
 


Thanks for your reply.

What is missing in the equation is 56 ft./min.
Then, the ans could be
h= 56t + 158

Right?

Y
 


That is correct.
 
Welcome to PF!

Hi TheShehanigan! :smile:

Nice one! :wink:

Welcome to PF! :biggrin:
 

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