Analyzing Rate of Change: Determining Uniform Slope in Linear Graph

Question

Given the following graph, determine whether the rate of change is uniform or not?

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–3–3–3–2–2–2–1–1–1111222333444555666000

Video Solution

Solution Steps

00:00 Is the rate of change of the function uniform?
00:03 We want to check if the value differences in X and Y are constant
00:07 For this, we'll take several points on the graph and observe the rate of change
00:44 Let's calculate the differences between X values
00:48 The differences in X values are equal
00:51 Let's calculate the differences between Y values
00:54 The differences in Y values are equal, therefore the rate of change is uniform
00:58 And this is the solution to the question

Step-by-Step Solution

Remember that if the function is a straight line, its rate of change will be constant.

Due to the fact that the graph is a straight line - the rate of change is constant.

Answer

Uniform

More Questions

Related Subjects

Variation of a Function Rate of Change of a Function Variable Rate of Change Rate of Change of a Function Represented by a Table of Values Constant Rate of Change Rate of change of a function represented graphically Rate of change represented with steps in the graph of the function

Question Types

Variation of a Function: Calculate the rate of change in a graph