Question

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

sales after 39 months. A) $102,400 B) $102,370 C) $102,500 D) $102,442​

Answer 1

A) $102,400

Explanation:

For these answers, we must assume the increase is linear.

The two-point form of the equation for a line is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given (x, y) values of (3, 25000) and (23, 68000), we have ...

y = (68000 -25000)/(23 -3)(x -3) +25000

y = 2150x +18,550

Then for x = 39, we find the predicted sales to be ...

y = (2150)(39) +18,550 = 102,400

The predicted sales after 39 months is $102,400.

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The graph shows sales in thousands of dollars.