Unit 6 REVIEW : Exponential Relationships (REI.C)

What is the result of multiplying two monomials, such as @@ (4x^3) \times (-2xy) @@?

• -8x^4y

• 8x^4y

• -6x^4y

• -8x^5y

What is the value of an investment of $100,000 that grows at a rate of 8% per year after 5 years?

• $120,000.00

• $130,000.00

• $146,932.81

• $150,000.00

• To add the exponent to each variable in the monomial.

• To multiply the monomial by itself as many times as indicated by the exponent, resulting in @@27a^6b^9@@.

• To divide the monomial by itself as many times as indicated by the exponent.

• To subtract the exponent from each variable in the monomial.

What is the importance of understanding exponential relationships in real-life applications?

• It helps in making informed decisions in finance, population studies, and various fields where growth or decay is involved.

• It is primarily used for solving linear equations in mathematics.

• It has no significant impact on real-life scenarios.

• It is only relevant in theoretical physics.

What is a polynomial?

• A mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

• A type of equation that only includes constants and no variables.

• A geometric figure with multiple sides and angles.

• A sequence of numbers that follows a specific pattern.

What is the value of an asset that depreciates at a rate of 5% per year after 8 years if its initial value is $35,000?

• $30,000.00

• $25,000.00

• $23,219.72

• $20,000.00

What is depreciation in the context of exponential relationships?

• Depreciation refers to the increase in the value of an asset over time.

• Depreciation refers to the reduction in the value of an asset over time, often calculated as a percentage of the asset's initial value.

• Depreciation is the process of selling an asset at a higher price than its purchase price.

• Depreciation is the method of calculating the total cost of an asset over its useful life.

How do you calculate the value of an asset after a certain number of years of depreciation?

• Value = Initial Value * (1 - Depreciation Rate)^Number of Years

• Value = Initial Value / (1 + Depreciation Rate)^Number of Years

• Value = Initial Value + (Depreciation Rate * Number of Years)

• Value = Initial Value - (Depreciation Rate * Number of Years)

What is the formula for exponential growth?

• Value = Initial Value * (1 + Growth Rate)^Number of Years

• Value = Initial Value * (1 - Growth Rate)^Number of Years

• Value = Initial Value * Growth Rate^Number of Years

• Value = Initial Value + (Growth Rate * Number of Years)

What is a monomial?

• A polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

• A polynomial with two or more terms.

• A constant value that does not change.

• A variable that can take on multiple values.