Week 14 FLASHCARD

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the ratio of the change in the dependent variable to the change in the independent variable, often represented as 'rise over run' or as a slope.

Front

How do you find the nth term of a geometric sequence?

Back

To find the nth term of a geometric sequence, use the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the formula for the area that can be painted with a given number of gallons of paint?

Back

The formula for the area that can be painted is typically linear, represented as A = k * g, where A is the area, g is the number of gallons, and k is the rate of change (area per gallon).

Front

What does the expression √184 simplify to?

Back

The expression √184 simplifies to 2√46.

Front

What is the significance of the slope in a temperature-altitude graph?

Back

The slope in a temperature-altitude graph represents the rate of change of temperature with respect to altitude, indicating how temperature decreases as altitude increases.

Front

How can you describe the rate of change in a packing scenario?

Back

The rate of change in a packing scenario can be described as the number of items packed per unit of time, such as items per minute.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, characterized by a constant rate of change.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you determine the common ratio in a geometric sequence?

Back

The common ratio in a geometric sequence can be determined by dividing any term by the previous term.

Front

What does a negative common ratio indicate in a geometric sequence?

Back

A negative common ratio indicates that the terms of the sequence alternate in sign, resulting in positive and negative values.