Math Models Semester Exam

Front

What is a transformation in mathematics?

Back

A transformation is a function that takes a set of points and moves them to a new location in a coordinate system.

Front

What are the three main types of transformations?

Back

The three main types of transformations are rotation, reflection, and translation.

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

Define reflection in the context of transformations.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

Define translation in the context of transformations.

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is the formula for calculating slope?

Back

Slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

What does the term 'Decay Factor' refer to?

Back

The Decay Factor is the ratio of the new value to the original value when a quantity decreases by a specified percentage.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Front

What is a quotient in mathematical terms?

Back

A quotient is the result of dividing one number by another.

Front

What is the purpose of calculating a housing expense ratio?

Back

The housing expense ratio helps determine the affordability of a borrower's housing costs relative to their income.