# What does "a declining rate of increase in" mean?

Context:

These figures demonstrate a declining rate of increase in arrivals (in 2006, arrivals fell by 4 per cent) and more significantly in receipts, with a significant reduction in per person average receipts.

The above sentence is about the following table demonstrating Key tourism indicators of a country: I do not get what it means that These figures demonstrate a declining rate of increase in arrivals (in 2006, arrivals fell by 4 per cent). As far as I see, there has been an increase in the growth rate of the last two years.

• Maybe if you consider the entire table, you would come up with a decreasing trend. I mean in overall, through the year, the trend is decreasing though being increasing in some points. For example, you have negative rates in 2000 and 2001 which can effectively influence the overall trend. Jun 11 '18 at 13:54
• It is equivalent to a plummeting rate of ascent, of course. Jun 11 '18 at 14:08
• It means that there is an inflection point in the first time derivative of the price function. Jun 11 '18 at 20:00
• @Tᴚoɯɐuo Would you explain it in a simpler way?
– Juya
Jun 13 '18 at 12:09
• If there is a function P (t) that inputs the time and outputs the price at that time, then it's increasing if P(t+1) is greater than P(t) for every time t. So the curve goes up and up. In calculus the first derivative of a function is its rate of change, so if it goes up, the first derivative is positive. But the derivative is also a function, and if it doesn't always go up, but sometimes goes down, then at those points where it goes down, it is said to have an inflection point. That's as simple as it gets. If you ask a mathematical question, you get a mathematical answer. Jun 13 '18 at 17:53