Write a scenario that could work for the following line of best fit: y = x + 1. explain the slope and intercept in this context

y = x + 1
 Sammy wants to train in the gym. Registration in a city gym costs $ 1. The gym fee is $ 1 per day.
 We define the variables:
 x = number of days.
 y = full payment of the gym after x days.
 
 The slope represents the cost per day of the gym.
 m = 1 $ / day 
 The intersection with the y-axis represents the inscription in the gym. 
 b = 1 $