Introduction to Rate of Change and its Interpretation on Graphs

The video tutorial explains the concept of rate of change, represented by the gradient of a line. It covers how to calculate the gradient using coordinates and the rise over run method. The tutorial also demonstrates interpreting graphs to determine rates of change, using examples like currency and petrol graphs. Additionally, it discusses matching graphs to water containers based on their filling rates. The video concludes with a summary of the key points about rates of change and gradients.

What does a steeper line on a graph indicate about the rate of change?

• The rate of change is zero.

• The rate of change is higher.

• The rate of change is constant.

• The rate of change is lower.

How do you calculate the gradient of a line using the rise over run method?

• Multiply the rise by the run.

• Subtract the run from the rise.

• Divide the rise by the run.

• Add the rise and the run.

What does a flat line on a graph indicate about the rate of change?

• The rate of change is fluctuating.

• The rate of change is zero.

• The rate of change is increasing.

• The rate of change is decreasing.

In a graph where the Y-axis represents dollars and the X-axis represents months, what does the graph show?

• Dollars lost per month

• Dollars earned per month

• Dollars saved per month

• Dollars spent per month

When interpreting a graph with liters on the Y-axis and miles on the X-axis, what does the graph represent?

• Miles per gallon

• Liters per mile

• Miles per liter

• Liters per gallon

If a container fills up quickly at first and then slows down, what does this indicate about the container's shape?

• The container is uniformly shaped.

• The container is wider at the top.

• The container is narrower at the bottom.

• The container is wider at the bottom.

What does a graph with a line that starts off slow and then gets steeper indicate about the container being filled?

• The container is empty.

• The container is uniformly shaped.

• The container is getting wider.

• The container is getting narrower.