Mathematics Flashcard

Front

What does the term 'rate of change' mean in mathematics?

Back

The rate of change refers to how much a quantity changes in relation to another quantity. It is often represented as the slope of a line in a graph.

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is zero.

Front

How do you calculate the total cost of a taxi ride if the base fare is $8.00 and the cost per mile is $0.75?

Back

The total cost (c) can be calculated using the equation c = 0.75m + 8, where m is the number of miles driven.

Front

What does it mean for a function to have a greater rate of change?

Back

A function has a greater rate of change if its slope is steeper than that of another function, indicating that it increases or decreases more rapidly.

Front

What is the significance of a graph in representing speed over time?

Back

A graph of speed over time visually shows how speed changes, indicating periods of acceleration, deceleration, and constant speed.

Front

What is acceleration?

Back

Acceleration is the rate at which an object changes its velocity. It can be positive (speeding up) or negative (slowing down).

Front

What does it mean to decelerate?

Back

Deceleration refers to the process of slowing down or reducing speed.

Front

How can you determine if a statement about a graph is true or false?

Back

You can determine the truth of a statement by analyzing the graph's features, such as slopes, intercepts, and overall trends.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change or slope.