Question

start with juanita. the equation $y = 11x$ can be used to represent juanitas cups, where $y$ is the number of cups she fills after pouring for $x$ minutes. how many cups would juanita fill after pouring for 9 minutes?
juanitas cups
$y = 11x$
juanita would fill \square cups after pouring for 9 minutes.
carters cups

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

carter would fill? cups after pouring for 9 minutes.

Explanation:

Step1: Substitute x=9 into Juanita's equation

Substitute $x=9$ into $y=11x$:
$y=11\times9$

Step2: Calculate Juanita's total cups

$y=99$

Step3: Find Carter's rate per minute

Use first table row: $\frac{27}{3}=9$ cups per minute

Step4: Calculate Carter's total cups

Multiply rate by 9 minutes: $9\times9=81$

Answer:

Juanita would fill 99 cups after pouring for 9 minutes.
Carter would fill 81 cups after pouring for 9 minutes.