Algebra 3/4

Algebra 3/4 delves into advanced algebraic concepts, including polynomial functions, rational expressions, and complex numbers.

Practical Applications

Rational Functions in Science and Engineering

Where Do Rational Functions Show Up?

Rational functions describe rates, concentrations, and flow in various scientific and engineering fields.

Examples in Use

  • Chemistry: Calculating reaction rates or concentrations.
  • Engineering: Modeling how current flows in circuits.

Why They Matter

Rational functions let us understand and predict real-world processes that involve ratios, speed, and change.

Examples

  • In chemistry, the rate of a reaction might be \( R(x) = \frac{kx}{1 + x} \).

  • An engineer models water flow rate with \( Q(t) = \frac{5t}{t + 3} \).