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The phrase "a big hike" is correct and usable in written English.
You can use it to refer to a large increase in the cost of something, or a large increase in the difficulty of a physical activity. For example, "The recent tax raise was a big hike for business owners."
Exact(23)
Breakfast is healthy but hearty, just the job before a big hike.
Will a big hike in tuition fees put off poorer students?
A big hike in road tax for high emission vehicles will be staggered.
But with the possible exception of a big hike in the minimum wage — a little one wouldn't have much impact — they are mainly small-bore measures.
"We haven't ordered a big hike," he said during his weekly radio appearance, "just the amount indispensable to guarantee the maintenance of service".
Whatever the rationale for imposing them, tariffs are taxes, and consumers were facing a big hike in the Trump tax in January.
Similar(37)
The fiscal-cliff deal raised the taxes that most working Americans pay by two per cent, and high-income taxpayers had a bigger hike.
Boehner and the Republicans could say they had retained the Bush tax rates for the vast majority of Americans and prevented a bigger hike in rates at the top end.
Either this bill is a big tax hike on the middle class, or it's a huge budget-buster.
That includes a big 2% hike in the value-added tax, scrapping the tax deductibility of employer-reimbursed commuting costs, some health and retirement issues, and most importantly limiting the deductibility of mortgage interest.
Customers on the time-varying plan cut consumption relative to their counterparts on flat rates when the price rose to $750 per MWh – not shocking since that's a big price hike.
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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