Question

warren just found his old journal in a drawer and has decided to start making 1 journal entry every day. there were already 8 entries in his journal. write an equation that shows how the total number of journal entries, y, depends on the number of elapsed days, x. y =

Explanation:

Step1: Identify the type of equation

This is a linear equation problem. The general form of a linear equation is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the y - intercept (initial value).

Step2: Determine the values of \(m\) and \(b\)

Warren makes 1 journal entry every day. So the rate of change (slope) \(m = 1\). There were already 8 entries in his journal, so the initial value (y - intercept) \(b = 8\).

Step3: Substitute \(m\) and \(b\) into the linear equation

Substituting \(m = 1\) and \(b = 8\) into \(y=mx + b\), we get \(y=1\times x + 8\), which simplifies to \(y=x + 8\).

Answer:

\(y=x + 8\)