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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
rate at which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase 'rate at which' is correct and usable in written English.
It is used to refer to the speed or frequency at which something occurs or is accomplished. For example: We need to increase the rate at which we complete projects in order to meet our deadlines.
✓ Grammatically correct
News & Media
Science
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
59 human-written examples
That will limit the rate at which processing speeds increase.
News & Media
"Warmth increases the rate at which pathogens mature inside mosquitoes".
News & Media
The rate at which it changes might surprise young demographers.
News & Media
"Now the rate at which it is melting is increasing.
News & Media
It also increases the rate at which fats are metabolised.
News & Media
Power is the rate at which work gets done.
News & Media
The rate at which new businesses are forming is rising.
News & Media
Power is the rate at which work is done.
Encyclopedias
The rate at which adults receive asylum is much higher.
News & Media
Vevesca is aimed at slowing the rate at which the body makes glycolipids, to balance the slower rate at which patients destroy the compounds.
News & Media
Ms. Danly said the rate at which Tesco's customers registered their purchases with MyThings "was amazing.
News & Media
Expert writing Tips
Best practice
When using the phrase "rate at which", ensure that the context clearly defines what is being measured and over what period. This provides clarity and avoids ambiguity.
Common error
Avoid using "rate at which" without specifying the units or scale. For example, instead of saying "the rate at which sales increased was significant", specify "the rate at which sales increased was 15% per quarter."
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "rate at which" functions as a prepositional phrase modifying a noun or verb, specifying the speed or frequency of an action or event. As Ludwig AI states, it's correct and usable in English. Examples from Ludwig illustrate its use in various contexts, from melting ice to the growth of computing systems.
Frequent in
News & Media
47%
Science
38%
Formal & Business
5%
Less common in
Encyclopedias
2%
Reference
0%
Social Media
0%
Ludwig's WRAP-UP
The phrase "rate at which" is a versatile and commonly used prepositional phrase that quantifies the speed or frequency of an event or process. Ludwig AI confirms its correctness and usability in a wide range of contexts. Predominantly found in "News & Media" and "Science", it maintains a neutral register suitable for both formal and informal communication. When employing this phrase, clarity is paramount; therefore, always specify what is being measured and the timeframe involved. Alternatives such as "speed at which" or "frequency with which" can be used for semantic variation, ensuring the writing remains engaging and precise.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
speed at which
Focuses specifically on the velocity of an action or event.
frequency with which
Emphasizes how often something occurs over a period of time.
pace at which
Highlights the tempo or rhythm of an event's progression.
velocity at which
Stresses the rate of change in position over time.
degree to which
Indicates the extent or level that something is happening.
extent to which
Emphasizes the scale or scope of an action or process.
level at which
Highlights a specific point or value in a process.
proportion in which
Indicates the ratio or percentage of something occurring.
tempo in which
Focuses on the timing and rhythm of an ongoing process or action.
measure at which
Emphasizes the method or system used for quantifying the change
FAQs
How do I use "rate at which" in a sentence?
Use "rate at which" to describe the speed or frequency of an action or event. For example, "The rate at which the ice is melting is increasing."
What can I say instead of "rate at which"?
You can use alternatives like "speed at which", "frequency with which", or "pace at which" depending on the context.
Is it correct to say "the speed at which" instead of "the rate at which"?
Yes, "speed at which" is a valid alternative to "rate at which", especially when emphasizing velocity or quickness.
What's the difference between "rate at which" and "degree to which"?
"Rate at which" describes the speed of change, while "degree to which" describes the extent or level to which something happens. They are not interchangeable.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested