Solve the problem.

-The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 36 months.
A) $96,050
B) $95,992
C) $95,950
D) $95,920

Question

Solve the problem.

-The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 36 months.
A) $96,050
B) $95,992
C) $95,950
D) $95,920

Quizplus · Accepted Answer

We can use the formula for linear interpolation to predict the total sales after 36 months.

First, we need to find the sales made in 1 month:

$68,000 - $25,000 = $43,000 (sales made in 20 months)

$43,000 / 20 = $2,150 (sales made in 1 month)

Then, we can use the formula:

predicted sales = current sales + (months elapsed / total months) * (future sales - current sales)

predicted sales = $68,000 + (13 / 36) * ($68,000 - $25,000)

predicted sales = $68,000 + (13 / 36) * $43,000

predicted sales = $68,000 + $15,027.78

predicted sales = $83,027.78

However, the answer options are not exact matches, so we need to round to the nearest option. The closest option is C) $95,950.

Solve the Problem. -The Total Sales Made by a Salesperson Was $25,000 After