Functions and Their Applications

The video tutorial on SATDecoded.com covers word problem functions, explaining their simplicity and providing examples to solve them. It begins with an introduction to word problem functions, followed by three examples: calculating telephone charges, factory output, and stock prices using functions. The tutorial emphasizes understanding the function's master formula, identifying variables, and substituting values to solve problems. Key pitfalls, such as confusing function notation, are highlighted to aid comprehension.

What is the main focus of word problem functions?

• Applying functions to real-world scenarios

• Understanding calculus concepts

• Solving algebraic equations

• Memorizing mathematical formulas

In the function C(x) = 0.21x + K, what does 'K' represent?

• An exponent

• A coefficient

• A constant

• A variable

If 300 minutes are used and the charge is $70, what is the value of K in the function C(x) = 0.21x + K?

• 5

• 7

• 10

• 12

What does the variable 'x' represent in the factory output problem?

• Total number of workers and machines

• Number of hours worked

• Total production cost

• Number of cars produced

How is the factory's output calculated in the given function?

• By multiplying the number of workers by the number of machines

• By subtracting the number of machines from the number of workers

• By adding the number of workers and machines and applying the function

• By dividing the number of workers by the number of machines

What is the purpose of the stock price function in the problem?

• To predict future stock prices

• To model stock prices over a specific period

• To determine company profits

• To calculate dividends

On which day is the stock price the same as on day 20?

• Day 60

• Day 10

• Day 50

• Day 30