Interpreting Gradients as Rates of Change

The video tutorial explains the concept of gradient and rate of change, using linear graphs and tables. It covers how to calculate the gradient of a line, the constant rate of change in linear graphs, and how to interpret exchange rates as rates of change. The tutorial also demonstrates how to determine the rate of change from graphs and tables, using practical examples like balloon pricing and currency exchange.

What is the gradient of a line if the difference in Y-coordinates is 8 and the difference in X-coordinates is 2?

• 4

• 2

• 8

• 6

In a linear graph, what does a constant rate of change indicate?

• The graph is a curve

• The graph is a straight line

• The graph has varying slopes

• The graph is a circle

If the price of 4 balloons is £12, what is the rate of change per balloon?

• £5

• £2

• £3

• £4

How do you calculate the rate of change from a table?

• By dividing the change in one variable by the change in another

• By subtracting the values

• By adding the values

• By multiplying the values

What was the exchange rate on Monday if $92.50 was exchanged for £50?

• $1.75 per pound

• $1.85 per pound

• $1.95 per pound

• $2.00 per pound

If an object increases in height at 1000 feet per minute, how long will it take to reach 10,000 feet?

• 15 minutes

• 20 minutes

• 10 minutes

• 5 minutes

What does a gradient of 1000 feet per minute indicate about an object's movement?

• The object is stationary

• The object is increasing in height

• The object is decreasing in height

• The object is moving horizontally