Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.
Rate of change is defined as the ratio of change in vertical value to change in horizontal value. In other words it is described as the
ratio of change in output to input values. Here the horizontal or input values stand for x and the vertical or output stands for y.
Example 1: A line y = 3x – 4 is passing through the two points (2, 2) and (-5, -19). Find the rate of change of the given points.
Here in (2, 2) input value is 2 and output value is 2
In (-5, -19) input value is -5 and output value is -19
Example 2: Edward has 8 gallons of gasoline in his car. After driving 200 miles he had 4 gallons left. Find the rate of change of
Number of miles he drove is 200
Horizontal change is 200 miles.
Change in amount of gasoline = 4 – 8 = -4
If the travelling distance is increasing then the amount of gasoline decreases. Hence the rate of change shows a negative sign.
Hence Edward’s car is burning 0.02 gallons of gasoline per mile. If the travelling distance is increasing then the amount of gasoline
HAVE A QUESTION?
Chat With Our Tutoring Experts Now
I just want you to know how great Brinda has been in tutoring me on probability. She is patient and very knowledgeable in all concepts. I look forward to many more sessions with her. I appreciate her help and the great work that Tutor Pace is doing.
9th Grade, from Barbara
Thank you for your excellent tutoring services. It has surely made a lot of difference in our child's academic performance.
9th Grader, from Venkat (father of Sai)
I have enjoyed my session with Aparna and it was helpful. I will hope to see her as my Math tutor in future sessions as well.
10th Grade, from Senia Revayo
Your tutor has been such an inspiration to me as I have difficulty getting some of the physics concepts down and truly understanding them. She takes the time to fully explain each and every aspect of any problem I might ask for help and always with encouragement and humor.