An athlete trains for 105 min each day for as many days as possible. Write an equation that relates the number of days d that the athlete spends training when the athlete trains for 840 min.
Let d be the number of days the athlete trains.
Since the athlete trains for 105 min each day, the total number of minutes spent training for d days is 105d.
Since the athlete trains for 840 min, we can write the equation as:
105d = 840.
Thus, the equation that relates the number of days d that the athlete spends training when the athlete trains for 840 min is 105d = 840.
Let's suppose that the number of days the athlete spends training is represented by the variable "d". We can set up the equation as follows:
105d = 840
In this equation, 105 represents the number of minutes the athlete trains each day, and 840 represents the total number of minutes the athlete spends training.
Simplifying the equation, we divide both sides by 105:
d = 840 / 105
d = 8
So, when the athlete trains for 840 minutes, the athlete spends 8 days training.