SIMPLE INTEREST The simple interest on an investment is...

SIMPLE INTEREST The simple interest on an investment is directly proportional to the amount of the investment. By investing $\$6500$ in a municipal bond, you obtained an interest payment of $\$211.25$ after 1 year. Find a mathematical model that gives the interest $I$ for this municipal bond after 1 year in terms of the amount invested $P$.

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Key Concepts

Simple Interest

Simple interest is the calculation of interest that doesn't take into account any interest on previously earned interest; it is computed only on the original principal amount over a specified period.

Direct Proportionality

Direct proportionality means that one quantity is a constant multiple of another. When the amount of interest is directly proportional to the invested principal, the relationship can be expressed with a constant multiplier known as the interest rate.

Interest Rate

The interest rate in a simple interest scenario is the constant factor or multiplier that gives the amount of interest earned per unit of principal over a specified period. It is determined by dividing the earned interest by the principal amount.

Mathematical Modeling

Mathematical modeling in this context involves setting up an equation to represent the relationship between the investment amount and the interest earned. The model uses the constant interest rate as the coefficient that connects the principal and the interest.

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