Quadratic Function Application. One of the things that people cannot stand in mathematics, next to fractions is...dare I say it...⚠️word problems⚠️. 🙄 Trust me I get it! 😒 I've encountered hundreds, if not a few thousand, words problems over the years I've been doing mathematics. I'm talking about word problems from algebra, geometry, precalc, calc, differential equations, linear algebra, statistics, standardized tests such as the SAT and GRE, not to mention word problems from the sciences. And still, when I see a word problem, my insides jump just a little bit. It can definitely be tricky to relate the words you're seeing in a problem to some math formula/techniques that you'll need to solve the word problem. If you're super annoyed with word problems, leave a comment down below 👇🏿 and vent a bit.
To solve this week's problem in completion, you need to recall the following math skills:
✔️ How to convert words/phrases to algebraic expressions
✔️ How to solve a quadratic equation
✔️ How to find the minimum/maximum value of a quadratic function
Happy solving!
Check back on Friday, June 12th for the solution, which will be posted below ⬇️.
Shameless plug: Follow me on Instagram @TheYoungeLady
✏️📓 Solution Time! 📓✏️
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One of the things that will be helpful when solving a problem is identifying and marking the words/phrases that can be translated into algebraic expressions/equations. In the solution, the key phrases are denoted in blue.
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Below is the graph of R(x):
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| *This graph was generated on Desmos.com.* |
The graph of the function isn't part of the original question, however it's great if you can have a visual to confirm or deny the answers you came up with. I showed the point on the graph where no revenue is generated, which is one of the roots (or "zeros") of the function. I also showed the point on the graph where maximum revenue is generated, which is the maximum point (or turning point).
◾️ How did you find this word problem?? Easy? Hard? In between?
◾️ Comment below with your responses and let me know what you thought about this week's problem.
See you again, soon, for WMP! #7 🤓
Cheers!
The Younge Lady
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