Need help with this Math problem.
- Thread starter gamaz321
- Start date
blamocur
Elite Member
- Joined
- Oct 30, 2021
- Messages
- 2,627
Also: which point are you stuck at?
Dr.Peterson
Elite Member
- Joined
- Nov 12, 2017
- Messages
- 16,089
Also, please tell us what topics you have learned that are relevant to maximizing a function. This sounds more like a calculus problem than algebra, and could be done several different ways.
Otis
Elite Member
- Joined
- Apr 22, 2015
- Messages
- 4,414
Hi gamaz. Just in case you're allowed to use technology, I'll mention that you can find the maximum value by graphing y in terms of x and zooming in on the highest point.
To find y in terms of x, first solve the given equation for y (you'll get two expressions). Then substitute either expression for y in the ratio to be maximized. Graph the result and zoom.
The reason why it doesn't matter which expression you substitute for y is because the negation simply flips the graph across the y-axis. In other words, the maximum value is the same on both graphs; it's position in one version is the mirror image of the other version.
[imath]\;[/imath]
To find y in terms of x, first solve the given equation for y (you'll get two expressions). Then substitute either expression for y in the ratio to be maximized. Graph the result and zoom.
The reason why it doesn't matter which expression you substitute for y is because the negation simply flips the graph across the y-axis. In other words, the maximum value is the same on both graphs; it's position in one version is the mirror image of the other version.
[imath]\;[/imath]