Question

A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters. Graph the relationship between the pool's water level (in centimeters) and time (in minutes).

Answer 1

Answer:

$y=6x+100$

The graph is drawn below.

Step-by-step explanation:

Let the minutes passed be $x$ and height of water level be $y$ cm.

Given:

Rate of rise of water level, $m = 6\textrm{ cm/min}$

When $x=20\textrm{ min},y=220\textrm{ cm}$

Therefore, the relationship can be expressed using the point-slope form of an equation if a line.

The point-slope form is given as:

$y-y_{1}=m(x-x_{1})$

Here, $m=6,x_{1}=20,y_{1}=220$

Therefore, the relationship is given as:

$y-220=6(x-20)\\y-220=6x-120\\y=6x-120+220\\y=6x+100$

Therefore, the relationship between the pool's water level (in centimeters) and time (in minutes) is $y=6x+100$.

The graph is shown below.