To find the total number of traffic signs on the road that leads to the hotel on the hill, we need to calculate the number of signs on each sharp curve and then multiply it by the total number of sharp curves.
Since each sharp curve is marked by three traffic signs, the number of signs on each sharp curve is 3.
The total number of sharp curves is given as 6.
Therefore, the total number of traffic signs on the road is given by:
Total number of traffic signs = Number of signs on each sharp curve Γ Total number of sharp curves
Total number of traffic signs = 3 Γ 6
Total number of traffic signs = 18.
Answer: There are 18 traffic signs on the stretch of road that leads to the hotel on the hill.