What Is the Exponential Function That Passes Through Given Points?

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Homework Help Overview

The discussion revolves around finding an exponential function of the form Y = c * a^x that passes through the points (1, 300) and (3, 432). Participants are exploring how to derive the function based on these points.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationships between the constants and variables in the exponential function, questioning how to manipulate the equations derived from the given points. There is an inquiry about the meaning of certain expressions used in the equations.

Discussion Status

The discussion is ongoing, with participants attempting to clarify their understanding of the equations and how to proceed with solving them. Some guidance has been offered regarding the division of equations to simplify the problem.

Contextual Notes

There is a lack of explicit values for the constant c when x = 0, which some participants note as a potential barrier to finding the solution. Additionally, there is a question about the relevance of calculus to this problem, indicating some uncertainty about the problem's classification.

EternityMech
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Homework Statement



Exponetiall function Y = c * a^x

goes through 1,300 and 3, 432

whats the function?

Homework Equations



non

The Attempt at a Solution



if i had a value for y when x = 0 i could easily solve.
 
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Hi EternityMech! :smile:

(try using the X2 tag just above the Reply box :wink:)
EternityMech said:
Exponetiall function Y = c * a^x

goes through 1,300 and 3, 432

Well, you know ca and ca3, don't you? :wink:
 
Ya i know 300(1)=C*a1

and 432(3)=C*a3

now what?
 
What do you get if you divide one equation by the other?

Wait, hold on a moment. What in the world do you mean by "300(1)" and "432(3)"?
(And how is this a calculus problem?)
 

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