Regents Exam: Algebra I August 2016 (Problem 1 of 37)

The video tutorial covers a problem from Algebra I, focusing on analyzing a graph that shows the distance hiked over time. The task is to identify the interval with the greatest rate of change, or velocity, by calculating the slope of each interval on the graph. The tutorial explains how to calculate the slope by dividing the change in y by the change in x for each interval. The interval with the steepest slope, between points A and B, is identified as having the greatest rate of change, corresponding to the time interval between 0 and 1 hour.

What does the graph in the problem represent?

• Distance in miles over time in hours

• Speed in miles per hour

• Time in hours over distance in miles

• Velocity in miles per hour

What is the slope of a line used to represent in this problem?

• The rate of change or velocity

• The total distance traveled

• The average speed

• The time taken to travel

How is the slope of a line calculated?

• By subtracting the run from the rise

• By dividing the rise by the run

• By adding the rise and run

• By multiplying the rise and run

Which interval had the greatest rate of change?

• Between points B and C

• Between points E and F

• Between points A and B

• Between points C and D

What is the slope between points D and E?

• 1

• 0

• 0.5

• 2