Final answer:
To estimate the number of plates washed by Ana between 7:15 and 7:38, we calculate the elapsed time of 23 minutes and assume a rate such as one plate per minute, which gives us approximately 23 plates washed. An equation for the remaining plates to wash is P(t) = P0 - rt, where P(t) is the number of plates, P0 is the initial number, r is the rate, and t is the time elapsed.
Step-by-step explanation:
The question involves estimating the number of plates washed by Ana between 7:15 and 7:38, as well as formulating an equation to represent the remaining plates she has to wash at any given time after 7:15.
Estimating the Number of Plates Washed
Firstly, the elapsed time for washing the plates needs to be calculated. Ana started washing at 7:15 and finished at 7:38. The difference between these two times is 23 minutes. Without the information on the exact rate of washing the plates, an assumption would have to be made for an estimate. For instance, if Ana can wash one plate per minute on average, then she could have washed approximately 23 plates.
The equation for Remaining Plates to Wash
An equation to represent the number of plates Ana has left to wash at a time t minutes after starting at 7:15 could be expressed as P(t) = P0 - rt, where P(t) denotes the number of plates left, P0 denotes the initial number of plates, and r denotes the rate of washing plates per minute. The variable t represents the elapsed time in minutes since 7:15.