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Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is a measure of the stiffness of the spring and is called the spring constant. The table shows the elongation d in centimeters of a spring when a force of F newtons is applied. Use the regression capabilities of a graphing utility to find a linear model for the data. Round the numerical values in your answer to three decimal places.
Income
The income earned from labor or investments, often received periodically.
Apples
A common fruit that is grown worldwide, known for its variety in colors, sizes, and flavors.
Bananas
Edible fruits, typically elongated and slightly curved, featuring a soft flesh covered by a yellow peel when ripe.
Utility Function
A mathematical representation in economics that quantifies the satisfaction or happiness that a consumer derives from consuming goods and services.
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