The proportional relationship between the total number of minutes, m, that Mariam practices the piano after some number of days, d, can be represented by the equation m, equals, 34, dm=34d. At what rate did she practice, in minutes per day?
The rate at which Mariam practices can be found by finding the derivative of the equation dm=34d with respect to d.
Taking the derivative of dm=34d with respect to d gives us:
d(dm)/d(d) = d(34d)/d(d)
dm/dd = 34
Therefore, the rate at which Mariam practices is 34 minutes per day.