The variation in the time of sunrise from day to day is not constant throughout the year. It depends on various factors, including the observer's location on Earth and the time of year. However, on average, the change in the time of sunrise (and sunset) per day is not precisely one minute.
The variation in the time of sunrise per day is affected by the tilt of the Earth's axis and its elliptical orbit around the Sun. These factors cause the length of a solar day (the time between successive solar noons) to vary throughout the year.
At the equinoxes (around March 20th and September 22nd), when the Earth's axis is not tilted towards or away from the Sun, the change in the time of sunrise per day is relatively close to one minute. However, during other times of the year, particularly around the solstices (around June 21st and December 21st), the rate of change is not exactly one minute per day.
The specific rate of change in the time of sunrise per day varies depending on factors such as latitude and the observer's specific location on Earth. Additionally, local conditions and atmospheric effects can introduce further variations in the observed times of sunrise. Therefore, it's not accurate to state a fixed value like one minute per day for the change in sunrise time throughout the year.