Using Linear Functions to Predict Car Travel: Distance, Speed, and Time

This video tutorial explains the relationship between distance, rate, and time using the formula d = r * t. It covers the concept of proportional relationships and how they are represented graphically. The tutorial demonstrates how to properly label graphs with independent and dependent variables, and how to use graphs to establish linear relationships. It also shows how to calculate speed and distance using the formula and graphs, emphasizing the constant rate of change in linear functions.

What is a key characteristic of a proportional relationship in a graph?

• The line passes through the origin.

• The line is curved.

• The line has a negative slope.

• The line has a positive slope.

In the formula d = r * t, which variable is typically placed on the X-axis?

• Distance

• Speed

• Rate

• Time

What does the rate represent in the formula distance = rate * time?

• The starting point

• The time taken

• The constant rate of change

• The total distance traveled

If a car travels 150 miles in 3 hours, what is its speed?

• 50 mph

• 30 mph

• 60 mph

• 70 mph

How far does a car travel in 8 hours at a speed of 30 mph?

• 180 miles

• 200 miles

• 240 miles

• 300 miles

What is the average speed if a car travels 180 miles in 3 hours?

• 50 mph

• 55 mph

• 60 mph

• 65 mph

What does the slope of a distance vs. time graph represent?

• The total distance

• The rate of change

• The starting point

• The time taken