Question

you use a garden hose to fill a wading pool. if the water level rises 13 centimeters every 3 minutes and you record the data point of (9,y), what is the value of y? use slope to justify your answer.
the rate of change at which the water level rises is \boxed{} centimeters per minute. so, solving the equation \boxed{} for y gives a y - value equal to \boxed{}.
(type integers or fractions. simplify your answers.)
options for the equation:
13y = 9
$\frac{13}{9}=\frac{y}{3}$
$\frac{13}{3}=\frac{y}{9}$
13y = 3

Explanation:

Step1: Set up rate proportion

$\frac{13}{3} = \frac{y}{9}$

Step2: Cross-multiply to solve for y

$3y = 13 \times 9$
$3y = 117$

Step3: Isolate y by division

$y = \frac{117}{3}$

Answer:

The rate of change at which the water level rises is $\frac{13}{3}$ centimeters per minute. So, solving the equation $\frac{13}{3} = \frac{y}{9}$ for y gives a y-value equal to $39$.