Question

carter and juanita both volunteer filling up water cups at a race. for each person, the relationship between time passed and cups filled is proportional. who would fill up more cups after pouring for 9 minutes? how many more cups would that person fill?
who would fill more cups after pouring for 9 minutes? how many more cups would that person fill?
juanitas cups
$y = 11x$
juanita would fill 99 cups after pouring for 9 minutes.
carters cups

time passed (min)	cups filled
4	36
5	45
7	63

carter would fill 81 cups after pouring for 9 minutes.
juanita would fill more cups than carter after pouring for 9 minutes.

Explanation:

Step1: Confirm Juanita's total cups

Given $y=11x$, substitute $x=9$:
$y=11\times9=99$

Step2: Confirm Carter's total cups

First find Carter's rate: $\frac{27}{3}=9$ cups/min.
Total cups: $9\times9=81$

Step3: Calculate the difference

Subtract Carter's cups from Juanita's:
$99-81=18$

Answer:

Juanita would fill 18 more cups than Carter after pouring for 9 minutes.