Regents Exam: Algebra I August 2016 (Problem 15 of 37)

The video tutorial guides viewers through determining which of four functions has a constant rate of change of -3. Each function is represented differently: tabular, ordered pairs, graphical, and equation form. The tutorial systematically calculates the slope for each option, eliminating those that do not match the required slope. Ultimately, option 4 is confirmed as the correct answer by rewriting its equation in slope-intercept form, revealing a slope of -3.

What is the main goal of the problem discussed in the video?

• To calculate the y-intercept of a function

• To determine which function has the highest slope

• To identify a function with a constant rate of change of negative 3

• To find a function with a slope of positive 3

Why is option 1 eliminated from consideration?

• It is represented graphically

• It has no ordered pairs

• Its slope is positive 3, not negative 3

• Its slope is inconsistent

What inconsistency was found in option 2?

• The function was not linear

• The slope was not consistent across different points

• The slope was negative 2

• The slope was positive 3

What was the slope found for option 3?

• Zero

• Negative 2

• Positive 3

• Negative 3

How was the correct slope determined for option 4?

• By checking the y-intercept

• By rewriting the equation in slope-intercept form

• By calculating the rise over run

• By using a graph