PQL - Semester 2 Final Exam Review kh

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What is the Consumer Price Index (CPI)?

Back

The Consumer Price Index (CPI) is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care. It is used to assess price changes associated with the cost of living.

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How do you calculate the average cost of a product using CPI?

Back

To calculate the average cost of a product using CPI, use the formula: \( \text{New Price} = \text{Old Price} \times \frac{\text{CPI in New Year}}{\text{CPI in Old Year}} \).

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What defines a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form \( f(x) = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Front

What is the general form of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically expressed in the form \( f(x) = ax^2 + bx + c \), where \( a \neq 0 \).

Front

What is the formula for the distance of a falling object under gravity?

Back

The distance \( d \) of a falling object can be modeled by the equation \( d(t) = -16t^2 + v_0t + h_0 \), where \( v_0 \) is the initial velocity and \( h_0 \) is the initial height.

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How do you determine the height of a building using a quadratic equation?

Back

To determine the height of a building using a quadratic equation, evaluate the function at \( t = 0 \) to find the initial height, which corresponds to the height from which the object is thrown.

Front

What is a profit function in business?

Back

A profit function represents the relationship between profit and the number of units sold. It is typically expressed as \( P(x) = R(x) - C(x) \), where \( R(x) \) is revenue and \( C(x) \) is cost.

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How do you calculate profit from sales?

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Profit can be calculated using the formula: \( P(x) = (Selling Price - Cost Price) \times x - Fixed Costs \), where \( x \) is the number of units sold.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function \( f(x) = ax^2 + bx + c \) can be found using the formula \( x = -\frac{b}{2a} \). The y-coordinate can be found by substituting this x-value back into the function.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function represents the maximum or minimum point of the parabola, indicating the highest or lowest value of the function.