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The phrase "a rate of increase" is correct and usable in written English.
It can be used when discussing the speed or frequency at which something is growing or rising over a specific period.
Example: "The company reported a rate of increase in sales of 15% over the last quarter."
Alternatives: "an increase rate" or "a growth rate."
Exact(34)
This is a rate of increase far beyond anything else in the developed world, and not far behind Brazil, India, or indeed Mexico.
When compared to a noise level of 91 dB in 2007 (cf. Fig. 1), this corresponds to a rate of increase of 2.2 dB per decade.
Just since 1970 the proportion of American children who are overweight has doubled, a rate of increase that suggests the fattening of America has a specific history as well as a biology.
That helps explain why the median weekly pay of the high-school educated is up 3.6percentt since 2000, adjusted for inflation, a rate of increase four times as great as the rise in pay for the college-educated.
Measurements of ambient noise levels in the frequency band 25 50 Hz show an increase of approximately 19 dB during the period 1950 2007, corresponding to a rate of increase of 3.3 dB per decade.
But that increase paled beside that of Time magazine, where sales at the newsstand rose 16 percent on average, a rate of increase far higher than others in the category.
Similar(26)
User fees at Canadian universities have more than doubled in the last 10 years--a rate of increase more than six times greater than that of inflation--and graduate students are getting hit the hardest. 1 If students do not act now to put public pressure on governments to reinvest in higher education, then the door to accessible education will close on many of us.
The subsequent expansion was exponential with a per-generation rate-of-increase of 0.005.
As we shall see, this corresponds to a linear rate of increase on a logarithmic (dB) scale.
The world GDP also exhibits an exponential growth rate during the time period of interest, corresponding to a linear rate of increase on a dB scale.
Even with a modest rate of increase and a long list of improvements planned, they will reach their full capacity of 130 million annual passengers within 15 years, said William DeCota, the Port Authority's director of aviation.
More suggestions(16)
a rate of gains
a form of increase
a rate of success
a range of increase
a rate of destruction
a combination of increase
a ton of increase
a sign of increase
a representation of increase
a trend of increase
a rate of one-half
a pattern of increase
a consequence of increase
a lack of increase
a result of increase
a period of increase
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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