Question

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. (
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.

Answer 1

5 min -- 30 plates
1 min -- 6 plates

a) 7:15 to 7:38 is 23 mins
no. of plates washed is 23 x 6 =138 plates

assuming shift lasts for x minutes, 
the number of plates  to wash is 6x

Answer 2

Answer: There are 138 plates that are to be washed by her if she started at 7:15 and end at 7:38, and the function will be f(x)=6x.

Step-by-step explanation:

Since we have given that

She washed 30 plates from 7:30 to 7:35 ,

That means in 5 minutes , number of plates get washed by her = 30

We need to find the number of plates from 7:15 to 7:38

First we count the number of minutes

$38-15=23\ minutes$

In 1 minute, number of plates get washed by her is given by

$\frac{30}{5}=6$

In 23 minutes, number of plates get washed by her is given by

$23\times 6=138\ plates$

Equation to represent how many plates Ana has left to wash at a particular time after her start at 7:15  is given by

$f(x)=6x\\\\\text{where x denotes the number of minutes}$

Hence, there are 138 plates that are to be washed by her if she started at 7:15 and end at 7:38, and the function will be f(x)=6x.