The phrase "are rising alarmingly" is correct and usable in written English.
It can be used to describe a situation where something is increasing at a concerning or worrisome rate.
Example: "The temperatures in the region are rising alarmingly, prompting officials to issue warnings about potential heatwaves."
Alternatives: "are increasing rapidly" or "are escalating dangerously."
Rates of illness, reflecting poor nutrition and reduced immunity to disease, are rising alarmingly.
America's bulging obesity rates lead the world; incidences of illness related to poor diet are rising alarmingly.
This request is urgent: It is estimated that some 35 million people die from chronic conditions each year -- 80% of them in developing countries -- and the numbers are rising alarmingly.
Rates of obesity, as defined by a body mass index (BMI) greater than 30 kg/m, are rising alarmingly in the UK and throughout the world.
These figures are rising alarmingly: in the period from 1999 to 2002, the age-adjusted prevalence of obesity was 31%, an increase of nearly 8% from 1988 to 1994 (Flegal et al. 2002).
Its gross debt-to-GDP ratio has been rising alarmingly, and is likely to reach 100% this year.
Overall unemployment may look low because of the high proportion of expatriates in the workforce, but the rate among local youths is rising alarmingly.
The prevalence of lifestyle diseases – atherosclerosis, heart disease, stroke, type 2 diabetes and the whole panoply of bad things that are associated with obesity, smoking and alcohol and drug abuse – is rising alarmingly.
Hardly surprising that the incidence of rape is rising alarmingly.
Petty crime is rising alarmingly, so watches, expensive jewellery and designer clothing will have to be left behind in the hotel.
Because, regretfully, the bill for Clubhouse security staff has been rising alarmingly over the past several months — as more bouncers have been needed around campus to break up several pretty serious brawls.
