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.

Explain how you figured out the water level at 0 minutes.

Answers

Answer 1

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

Answer 2

Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.

What is the linear system?

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


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