Understanding Slope and Rate of Change

The video tutorial reviews the concept of rate of change, equating it to slope. It explains two methods to calculate slope: using a calculator and manually. The first example involves a table of values, while the second example uses a graph of ice sheet thickness over time. The tutorial emphasizes understanding the scale of graphs and ensuring correct calculations of rise over run.

What does the term 'rate of change' refer to in the context of linear functions?

• The y-intercept of the function

• The maximum value of the function

• The slope of the function

• The x-intercept of the function

Which method can be used to find the rate of change using a calculator?

• Equation Solver

• Stat Edit

• Graphing

• Matrix Operations

When calculating the rate of change by hand, what is the formula used?

• Change in y over change in x

• Sum of x and y

• Product of x and y

• Change in x over change in y

In the example provided, what is the rate of change when y changes from 13 to 6 and x changes from -2 to 0?

• -2

• 3.5

• -3.5

• 2

What is the context of the new problem introduced in the video?

• Rate of change of population over time

• Rate of change of speed over time

• Rate of change of ice thickness over time

• Rate of change of temperature over time

When analyzing a graph, why is it important to check the scale?

• To find the midpoint of the graph

• To accurately calculate rise over run

• To understand the units of measurement

• To determine the color of the graph

If a graph's y-axis is scaled by twos, what does one big jump represent?

• A rise of 1

• A rise of 2

• A rise of 0.5

• A rise of 4

How do you determine if a line is increasing or decreasing?

• By counting the number of points on the line

• By measuring the length of the line

• By observing the direction of the line

• By checking the color of the line

What is the slope of a line that rises 2 units and runs 8 units?

• 1/4

• 2/8

• 1/8

• 2/4

If a line is decreasing, what can be said about its slope?

• The slope is zero

• The slope is negative

• The slope is undefined

• The slope is positive