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What is depreciation in the context of a car's value?

Back

Depreciation refers to the reduction in the value of an asset over time, often due to wear and tear or obsolescence. For cars, it typically follows a specific model, such as linear or exponential.

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What is a linear model of depreciation?

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A linear model of depreciation means that the value of the car decreases by a constant amount each year.

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What is an exponential model of depreciation?

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An exponential model of depreciation means that the value of the car decreases by a constant percentage each year, leading to a rapid decline in value initially.

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How do you determine the rate of change in a linear model?

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The rate of change in a linear model is calculated by finding the difference in value over a specific time period.

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What does the function P(c) = 0.87c represent in a real-world context?

Back

This function represents the profit, P, made from selling c ice cream cones, where each cone contributes $0.87 to the profit.

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What is the appropriate domain for the function P(c) = 0.87c?

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The appropriate domain is integers greater than or equal to 0, as you cannot sell a negative number of ice cream cones.

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What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

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What does the degree of a polynomial indicate?

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The degree of a polynomial indicates the highest power of the variable in the expression, which affects the shape and number of roots of its graph.

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What is a root of a polynomial function?

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A root of a polynomial function is a value of x that makes the function equal to zero.

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How can you identify the roots of a polynomial from its factored form?

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The roots can be identified by setting each factor equal to zero and solving for x.