Final answer:
The linear equation that represents the total amount of quarters in a jar after x days is y = 2x + 6, where 2 represents the number of quarters added each day and 6 is the initial amount of quarters in the jar.
Step-by-step explanation:
The question asks to find a linear equation that represents the total amount of quarters in a jar after x days, given that there are initially 6 quarters and 2 quarters are added each day. A linear equation has the form y = mx + b, where m is the slope (the rate of change) and b is the y-intercept (the starting value).
To solve this, we start with the initial amount of quarters in the jar (b), which is 6. Since Jill adds 2 quarters each day (m), after x days, there will be 2x additional quarters. Therefore, the equation that represents the total number of quarters after x days is y = 2x + 6.