Question

5.6 linear functions in the real world
write a linear equation for the following scenario: owners of a recreation area are filling a small pond with water. they are adding water at a rate of 35 liters per minute. there are 600 liters in the pond to start.

Explanation:

Step1: Identify the slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Determine the slope

The rate of adding water is 35 liters per minute. This is the slope $m$. So $m = 35$.

Step3: Determine the y - intercept

The initial amount of water in the pond is 600 liters. This is the y - intercept $b$. So $b = 600$.

Step4: Write the linear equation

Substitute $m = 35$ and $b = 600$ into $y=mx + b$. We get $y = 35x+600$, where $y$ is the total amount of water in the pond after $x$ minutes.

Answer:

$y = 35x + 600$