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Formulas as Problem Solving Tools

Formulas are defined as simple, concise, and methodical tools for problem solving.
They serve as mathematical statements that utilize:
- Variables: Symbols that represent unknown values.
- Constants: Fixed values that do not change.
Purpose of Formulas:
- To provide answers to general questions or problems in various contexts.
- Example Question: How long does it take to drive a certain distance when traveling at a specified rate of speed?
To utilize a formula, it is necessary to know all but one of the variables involved, which allows for resolution of the unknown variable.
Applications of Formulas:
- Formulas play an integral role in everyday life and across multiple professions. Examples include:
- Calculating sales tax at grocery stores or department stores.
- Determining tips for servers at restaurants.

Distance and Rate Formula
- Mathematical Expression:
  d = r imes t
- Where:
  - d = Distance
  - r = Rate
  - t = Time
Converting Celsius to Fahrenheit Formula
- Mathematical Expression:
  f = c imes \frac{9}{5} + 32
- Where:
  - f = Temperature in Fahrenheit
  - c = Temperature in Celsius
Converting Fahrenheit to Celsius Formula
- Mathematical Expression:
  c = (f - 32) \times \frac{5}{9}
- Where:
  - c = Temperature in Celsius
  - f = Temperature in Fahrenheit
Simple Interest Formula
- Mathematical Expression:
  I = p imes r imes t
- Where:
  - I = Interest earned
  - p = Principal amount (initial investment)
  - r = Rate of interest (as a decimal)
  - t = Time (in years)