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The phrase "a steeper increase in" is correct and usable in written English.
It can be used when discussing trends, data, or changes that are rising at a more significant rate compared to something else.
Example: "The report indicated a steeper increase in sales during the holiday season compared to the previous year."
Alternatives: "a sharper rise in" or "a greater surge in".
Exact(40)
Subcontractor usage surged at the fastest rate since the survey began in April 1997, prompting a record drop in subcontractor availability and a steeper increase in rates charged.
In his budget address on Friday, Mr. Bloomberg is also expected to recommend that the State Legislature authorize a steeper increase in the city sales tax, now 8.375 percent, than the 0.25 percentage point increase he proposed in January.
The second plastic regime corresponds to a decrease in the average indentation pressure and to a steeper increase in the pile-up.
Verbal interference led to a steeper increase in errors on the primary verbal working memory task; whereas, there was a smaller increase in errors across load in both the non-verbal and no-interference conditions.
The noise and annoyance relationships determined for each source revealed very strong dependence on noise levels and the regression lines displayed a steeper increase in comparison with the previous results.
When considering the edge and the interior parts of the woodlot separately we found a steeper increase in species richness with area for the part we considered as the edge, compared with the increase found in the interior part of the forest.
Similar(19)
A steep increase in spending by the federal government, which rose 10.1percentt, salvaged the quarter.
The best solution would be a steep increase in production by oil producers, especially Saudi Arabia.
In the past two years there has been a steep increase in the rate of house building.
Adding to the government's troubles is a steep increase in terrorist attacks.
By rapidly increasing retail charges for procedures often covered by Medicare, St. Barnabas got a steep increase in federal aid.
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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