Algebra 1 Recovery 12.17.24

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is given by: y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

How do you find the next term in a pattern?

Back

To find the next term in a pattern, identify the rule or relationship between the terms and apply it to predict the next term.

Front

What is the formula for the slope of a line passing through points (5, 0) and (0, 5)?

Back

The slope is calculated as m = (5 - 0) / (0 - 5) = -1.

Front

What is the decay rate of a substance that decreases by 20% per hour?

Back

The decay rate is 20%, which means 80% of the substance remains after each hour.