I'm writing a game of Monopoly for a personal project in a C++ class this semester and instead of hard-coding in each rent value of a property I was wondering if there's a formula to get them. For example, the first property (Mediterranean Ave.) has a base rent of \$2 with a rent of \$10 for 1 house which is 5x the base rent price. On the other hand the last property (Boardwalk) has a base rent of \$50 with a rent of \$200 for 1 house which is 4x base rent price.
I'm not very familiar with advance math, but I think I need something similar to a logistic function with a higher growth rate, then add 4 to it and I get a number between 4 and 5 that I would multiply by the base rent. Thanks for the help. $:)$