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

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Homework Help Overview

The discussion revolves around modeling the elevation of a balloon as a function of time using algebra. The balloon starts at a height of 158 feet above sea level and rises at a rate of 56 feet per minute.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the formulation of an equation to represent the balloon's height over time, discussing the initial height and the rate of ascent. Questions arise about the correct structure of the equation and what variables are necessary.

Discussion Status

Some participants have provided guidance on how to structure the equation, indicating the initial height and the rate of change. There is a collaborative effort to clarify the components needed for the equation, with multiple interpretations being explored.

Contextual Notes

Participants are working within the constraints of a homework assignment, focusing on the formulation of the equation without providing a complete solution.

yamuna
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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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