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The phrase "a function of income" is correct and usable in written English.
It can be used in contexts discussing how various factors or outcomes are influenced by or depend on income levels.
Example: "The study revealed that health outcomes are often a function of income, with higher earners generally experiencing better health."
Alternatives: "dependent on income" or "related to income".
Exact(19)
Class is nowadays basically a function of income.
The value-added tax is a function of income — the poor and the sick would pay much less.
By Oprah's definition he would be middle-class, though his appearances in Tatler's bystander section suggests otherwise.Is social class in the US really just a function of income rather than family background?
We therefore model utility as a function of income (rather than consumption).
There, we show expenditure shares on different types of goods as a function of income levels.
Morgan Stanley analyst Benjamin Swinburne had released charts at the beginning of the year showing the ratings drop, claiming declines are a function of income level.
Similar(40)
To the extent that food security is a function of incomes and the ability to secure sufficient food through monetary means, then food security depends on trade outside agriculture as well as on trade in agricultural products.
Consider the case in which normatively we affirm a priority of health principle, but empirically the relative income hypothesis is correct that is, an individual's life expectancy is also a function of her income as compared to others' income in her society and not simply of its non-comparative level.
The U.K. personal income tax is a function of personal income above the "personal allowance".
Once the migrant decides to remit, and takes action, our computed remittance/migrant income elasticity indicates that the amount remitted is a function of the income of the remitter.
In India, how far your property rights are curbed sometimes appears to be a function of your income.
More suggestions(18)
a function of growth
a function of employment
a function of household
a function of revenue
a function of tax
a function of incomes
a function of earnings
a function of differentiation
a function of temperature
a function of class
a function of scale
a function of membrane
a function of distance
a proportion of income
a function of price
a function of production
a function of location
a function of time
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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