A company makes yellow golf balls and white golf balls The table shows the companys sales of yellow golf balls for the last 3 yearsYellow Golf BallsYear Number of Yellow Golf Balls Sold1 2041322 22562

To estimate the company's total sales of golf balls in year 4, we need to first estimate the number of yellow and white golf balls sold.

We know that the company expects the ratio of yellow golf ball sales to white golf ball sales in year 4 to be about 1:5. Let's assume that the company sells x boxes of yellow golf balls and 5x boxes of white golf balls in year 4.

Next, we can estimate the total number of golf balls sold by multiplying the number of boxes by the number of golf balls per box (which is 12):

Number of yellow golf balls sold = x boxes * 12 balls per box = 12x Number of white golf balls sold = 5x boxes * 12 balls per box = 60x

To estimate the total sales in dollars, we need to multiply the total number of golf balls sold by the average selling price per box:

Total sales = (x + 5x) boxes * $23.94 per box = 6x * $23.94

So, our task is now to estimate x, the number of boxes of yellow golf balls sold in year 4.

We know that the sales of yellow golf balls have been increasing over the past 3 years, so we can assume that the trend will continue in year 4. We can use a linear regression model to estimate the expected number of yellow golf balls sold in year 4 based on the past sales data.

Using the data provided, we can calculate the slope of the trend line:

Slope = (237108 - 204132) / (3 - 1) = 16548

This means that the company is selling an additional 16,548 yellow golf balls each year. We can use this to estimate the expected sales in year 4:

Expected yellow golf ball sales in year 4 = 237108 + 16548 = 253656

To convert this to the number of boxes, we need to divide by the number of golf balls per box (12):

Expected number of boxes of yellow golf balls sold in year 4 = 253656 / 12 = 21138

Now we can use this estimate to calculate the total sales:

Total sales = 6x * $23.94 Total sales = (x + 5x) boxes * $23.94 per box Total sales = 6x * $23.94 Total sales = 6 * 21138 * $23.94 Total sales = $3,042,194.52

Therefore, we estimate that the company's total sales of golf balls in year 4 will be approximately $3,042,194.52.