2023-2024 Keystone Sampler Module 2

Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you find the equation of a line given a slope and a point?

Back

Use the point-slope form of the equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point on the line.

Front

What does it mean for a swimming pool to be drained completely?

Back

It means that the amount of water in the pool reaches zero gallons.

Front

How do you calculate the time taken to drain a swimming pool?

Back

You can determine the time by analyzing the rate of drainage and the total volume of water.

Front

What is probability?

Back

Probability is the measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

How do you calculate the probability of multiple independent events?

Back

Multiply the probabilities of each individual event together.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the domain of a relation represent?

Back

The domain represents all possible input values (x-values) for the function or relation.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

What is the meaning of 'about one-fourth of the times' in a statistical context?

Back

It indicates that approximately 25% of the data points fall within a specified range.