Answer:
[tex]y=6x+100[/tex]
The graph is drawn below.
Step-by-step explanation:
Let the minutes passed be [tex]x[/tex] and height of water level be [tex]y[/tex] cm.
Given:
Rate of rise of water level, [tex]m = 6\textrm{ cm/min}[/tex]
When [tex]x=20\textrm{ min},y=220\textrm{ cm}[/tex]
Therefore, the relationship can be expressed using the point-slope form of an equation if a line.
The point-slope form is given as:
[tex]y-y_{1}=m(x-x_{1})[/tex]
Here, [tex]m=6,x_{1}=20,y_{1}=220[/tex]
Therefore, the relationship is given as:
[tex]y-220=6(x-20)\\y-220=6x-120\\y=6x-120+220\\y=6x+100[/tex]
Therefore, the relationship between the pool's water level (in centimeters) and time (in minutes) is [tex]y=6x+100[/tex].
The graph is shown below.
Answer: Points are (20, 220) and (15, 190)
Step-by-step explanation: I had the same quiz question.
