Question

You use a garden hose to fill a wading pool. If the water level rises 11 centimeters every 6 minutes and you record the data point of ​(12​,y), what is the value of​ y? Use slope to justify your answer.

Answer 1

Answer:

$y=22\ cm$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of minutes

y ----> the water level in centimeters

In this problem we have a proportional relationship between the variables x and y

Find the value of k

For x=6 min, y=11 cm

$k=11/6$ -----> the slope is equal to the constant of proportionality k

The linear equation is

$y=(11/6)x$

so

For (12,y)

we have

x=12 min

substitute in the equation and solve for y

$y=(11/6)12$

$y=22\ cm$