Distance, Speed, and Exponential Functions

The video tutorial covers classwork on related quantities, focusing on constant speed, writing distance equations, interpreting graphs, solving power equations, and finding equivalent expressions. It also includes an analysis of a walkathon scenario to identify independent and dependent variables.

If a car travels at a constant speed of 50 miles per hour, how far will it travel in 3 hours?

• 150 miles

• 100 miles

• 250 miles

• 200 miles

What is the equation to calculate the distance D traveled by a car moving at a constant speed of 50 miles per hour for time T?

• D = 50 - T

• D = T/50

• D = 50T

• D = 50 + T

On a graph showing time and distance, what does the point (25, 0.5) represent?

• 25 hours in 0.5 miles

• 0.5 miles in 25 hours

• 0.5 hours in 25 miles

• 25 miles in 0.5 hours

How do you determine the speed of a ship from a graph showing time and distance?

• By finding the slope of the line

• By counting the number of points

• By measuring the distance between points

• By adding the coordinates

What is the constant speed of a ship if it travels 25 miles in 1 hour?

• 75 miles per hour

• 50 miles per hour

• 25 miles per hour

• 10 miles per hour

Which of the following is equivalent to 2^3?

• 10

• 4

• 8

• 6

If 2^x = 8, what is the value of x?

• 4

• 3

• 2

• 1

What is the result of simplifying the expression 35x - 15x?

• 15x

• 50x

• 10x

• 20x

In the equation 1/3 D = T, which variable is independent?

• Neither D nor T

• Both D and T

• T

• D

How do you convert 7.5 into an improper fraction?

• 7/2

• 3/2

• 5/2

• 15/2