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@HorusKol - I agree. The average rate is the total change divided by the time taken for that change to occur. flashcard sets. The only phrase I personally would ever use is "rate of change". \[\begin{align*} \text{Average rate of change}&=\dfrac{\text{Change in output}}{\text{Change in input}} \\[4pt] &=\dfrac{\Delta y}{\Delta x}\\[4pt] &=\dfrac{y_2-y_1}{x_2-x_1}\\[4pt] &=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}\end{align*} \label{1.3.1}\]. "the soup was being warmed with a temperature gradient of 10 degrees every 5 minutes". Direct link to Diego Piscoya 's post does the order matter whe, Posted 5 years ago. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. We would get a level. We'll call that our start. In a difference quotient, the ratio of two deltas give a rate of change. So this is our end. However, if you are looking for synonyms for the mathematical idea of a derivative, there are: 1) differential coefficient; 2) gradient/slope function; or simply, 3) differential. The best answers are voted up and rise to the top, Not the answer you're looking for? Observe the graph of \(f\). Adding EV Charger (100A) in secondary panel (100A) fed off main (200A). What is the average If we were interested only in how the gasoline prices changed between 2005 and 2012, we could compute that the cost per gallon had increased from $2.31 to $3.68, an increase of $1.37. Then shade in 3 of those halves. 22 chapters | I'm not sure about that. I've tried using sites like tiger-algebra and I realize it's just above my head Start by rearranging so that you've got a "y" on its own: the first problem that we notice is that "2" stuck to the front, so we'll divide both sides by 2 to get rid of it, obtaining $$y - 6x = 18.$$ I would argue that "derivative" is actually not a good synonym for "rate of change" because it denotes the mathematical operation associated with a "rate of change", but not the notion of "rate of change" itself. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. I'm settling for "growth speed", "motion speed", and "temperature speed". Now, you can plug these into our formula to calculate the average rate of change: Average rate of change = (181 - 117) / (7 - (-4)) = 64 / 11 = 5.82. See also synonyms for: rated / rates / rating On this page you'll find 226 synonyms, antonyms, and words related to rate, such as: amount, estimate, percentage, quota, standard, and comparison. I am Ali from Afghanistan. Is there a single word to mean "rate of procrastination"? Answer: The rate of change is 70 or the rate of change of distance with time is 70 miles per hour.