The total sales made by a salesperson was 25,000 after 3 months and 68,000 after 23 months. Predict the total sales after 31 months

Find the unit rate then multiply by 31 on both sides of the ratio

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To predict the total sales after 31 months, we can use the concept of linear interpolation.

First, calculate the monthly sales increase by dividing the difference in total sales by the number of months:

Monthly sales increase = (total sales after 23 months - total sales after 3 months) / (23 - 3)

Next, calculate the additional sales in the next 8 months by multiplying the monthly sales increase by 8:

Additional sales = Monthly sales increase * 8

Finally, add the additional sales to the total sales after 23 months to get the predicted total sales after 31 months:

Predicted total sales after 31 months = Total sales after 23 months + Additional sales

Let's calculate these values step-by-step:

Step 1: Calculate the monthly sales increase
Monthly sales increase = (68,000 - 25,000) / (23 - 3) = 43,000 / 20 = 2,150

Step 2: Calculate the additional sales in the next 8 months
Additional sales = Monthly sales increase * 8 = 2,150 * 8 = 17,200

Step 3: Predict the total sales after 31 months
Predicted total sales after 31 months = 68,000 + 17,200 = 85,200

Therefore, the predicted total sales after 31 months is 85,200.

To predict the total sales after 31 months, you can use the concept of a linear equation or line of best fit.

First, let's calculate the monthly sales increase rate.

The sales amount increased by $68,000 - $25,000 = $43,000 in 23 months.
So, the average monthly sales increase rate is $43,000 / 23 months = $1,869.57 per month (approximately).

Now, we can use this monthly sales increase rate to predict the sales after 31 months.

Starting with the sales of $25,000 after 3 months, we need to calculate the additional sales made in the subsequent 28 months (31 months - 3 months = 28 months).

28 months * $1,869.57 per month = $52,308.16 (approximately).

Finally, we can predict the total sales after 31 months by adding the additional sales to the initial sales:

$25,000 + $52,308.16 = $77,308.16 (approximately).

Therefore, it is predicted that the total sales after 31 months will be approximately $77,308.16.