Final answer:
The equation to approximate the number of wreaths Xavier made for any given day is y = 4x + 15, where x is the number of days.
Step-by-step explanation:
To approximate the number of wreaths Xavier made for any given day leading up to the fair, we need to create a linear equation. Xavier starts with 15 wreaths and makes 4 more each day. If we let x represent the number of days, then the number of wreaths, y, can be calculated with the equation y = 4x + 15.
To use this equation, simply substitute the number of days Xavier has been making wreaths for x. For example, if we want to find out how many wreaths he has made after 3 days, we substitute 3 for x and solve:
y = 4(3) + 15
y = 12 + 15
y = 27 wreaths.
This equation will give the total number of wreaths made by the end of any day leading up to the fair.