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. how much water does tank a hold before it starts to leak? find the initial value. gallons tank a: $y = 900 - 11x$ tank b: | minutes, x | water in tank (gal), y | | --- | --- | | 0 | 985 | | 1 | 975 | | 2 | 965 | | 3 | 955 |

Explanation:

Step1: Understand the initial - value concept

The initial value of a linear function \(y = mx + b\) (in the form of \(y=900 - 11x\) which can be written as \(y=-11x + 900\)) is the value of \(y\) when \(x = 0\).

Step2: Substitute \(x = 0\) into the equation for Tank A

When \(x = 0\), we have \(y=900-11\times0\).
Using the order of operations (multiplication first, then subtraction), \(11\times0 = 0\), and \(y=900-0\).

Answer:

900