Question

wanen just found this 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 = submit

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 \(b\)

The rate of change \(m\) (number of journal entries per day) is \(1\) (since he makes 1 entry per day). The initial value \(b\) (number of entries already there) is \(8\).

Step3: Write the equation

Substitute \(m = 1\) and \(b = 8\) into the linear equation \(y=mx + b\). So, \(y=x + 8\)

Answer:

\(y=x + 8\)