Answer:
It would have started to be filled at 10 cm
Step-by-step explanation:
FInd teh difference between 8 and 2 which is 6
Find the difference between 34 and 16 which is 18
Divide 18 by 6 which is 3
Subtract 2(3) = 6 by 16 which is 10
Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.
It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.
Given
Henry is filling up his fish tank with water at a constant rate.
At 2 minutes the water level is 16 cm.
At 8 minutes the water level is at 34 cm.
We know that the linear equation
[tex]\rm y = mx +c[/tex]
Where
m be the rate of filling water in the tank.
c be the initial water in the tank.
y be the water level of the tank in cm.
x be the time in minutes.
At 2 minutes the water level is 16 cm. Then
[tex]\rm 16 = 2m + c[/tex] ...1
At 8 minutes the water level is at 34 cm. then
[tex]\rm 34 = 8m +c[/tex] ...2
From equations 1 and 2, we have
m = 3, and c = 10
Then the equation will be
[tex]\rm y = 3x + 10[/tex]
For x = 0, then y = 10
Thus, the water level at 0 minutes is 10 cm.
More about the linear system link is given below.
https://brainly.com/question/20379472
