Question

two water tanks are leaking water. the equation and the table each represent the gallons of water in the tank, y, as a function of time in minutes, x. find the rate of change for the function that represents tank a. tank a: y = 900 - 11x tank b: (table with minutes, x: 0,1,2,3 and water in tank (gal), y: 985,975,965,955) the amount of water in tank a? by? gallons per minute. the rate of change for tank a is?.

Explanation:

Step1: Recall the slope - intercept form of a linear equation

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the \(y\) - intercept.
For the equation of Tank A: \(y=900 - 11x\), which can be rewritten as \(y=-11x + 900\).

Step2: Identify the rate of change

Comparing \(y=-11x + 900\) with \(y = mx + b\), we can see that \(m=-11\). The negative sign indicates that the amount of water is decreasing.

Answer:

The amount of water in tank A is decreasing by \(11\) gallons per minute. The rate of change for tank A is \(- 11\).