Question

1. Ana was washing dishes at the end of her shift at a restaurant. She washed 30 plates from 7:30 to 7:35. When she finishes washing all the plates, her shift will end. (a) If she started washing plates at 7:15 and ended at 7:38, estimate how many plates she washed in total. Explain your reasoning. (2 points) (b) Write an equation to represent how many plates Ana has left to wash at a particular time after her start at 7:15. Explain your reasoning. (3 points)

Answer 1

A=138

B=T-(6m)=d

Explanation:

A: Well if she washes 30 plates in 5 minutes, then in 1 minute she would wash about 6 plates. The difference in minutes between 7:15 and 7:38 is 23 minutes. So, 6x23=138. Therefore I think that she washed 138 plates in total.

B: Well if I have and m=minutes and d=amount of dishes left to wash and t=the total amount of dishes then my equation would be t-(6m)=d

Answer 2

a)

since she washed 30 plates in 5 mins (7:30 to 7:35) the ratio was 5:30 or in simplest form 1min:6plates

This means she washes 6 plates a min and thus from 7:15 to 7:38 (23 mins) she washes:

6X23 = 138 plates

b)

L - plates left
T- total plates
t - time(mins)

"L = T - 6x"
This is because she washes 6 plates a min