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. An investment of $$ 3250$ will earn $$ 113.75 after 1 year. Find a mathematical model that gives the interest $I$ after 1 year in terms of the amount invested $P$

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Key Concepts

Mathematical Modeling

Mathematical modeling is the process of developing a mathematical expression or equation that accurately represents a real-world situation. In financial calculations, such as determining simple interest, a model is created to relate the principal amount, interest rate, and time period to the interest earned, which helps in understanding and predicting outcomes.

Simple Interest

Simple interest is a method of calculating the interest charge on a principal sum, where the interest is computed only on the initial amount deposited. It involves a constant rate applied to the principal over a given time period, making the growth linear rather than exponential.

Direct Proportionality

Direct proportionality refers to the relationship between two quantities where an increase in one quantity results in a proportional increase in the other. In financial scenarios, if the interest earned is directly proportional to the principal, then doubling the principal will double the interest, assuming the interest rate stays constant.

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