What Is the Exponential Function That Passes Through Given Points?

  • Thread starter Thread starter EternityMech
  • Start date Start date
Click For Summary
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 suggest that knowing the value of y when x = 0 would simplify the problem. They discuss setting up equations based on the given points and hint at dividing one equation by another to isolate variables. There is some confusion regarding the notation used in the equations and the relevance of the problem to calculus. The conversation emphasizes the need for clarity in mathematical expressions to solve the problem effectively.
EternityMech
Messages
95
Reaction score
0

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.
 
Physics news on Phys.org
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?)
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 27 ·
Replies
27
Views
2K
Replies
10
Views
2K
  • · Replies 40 ·
2
Replies
40
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
2
Views
1K
Replies
2
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K