math

The total sales made by a salesperson was \$25,000 after 3 months and \$68,000 after 23 months. Predict the total sales after 42 months.

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1. Are we assuming that the relation is linear ?
Then treat the data as two ordered pairs
(3,25000) and (23,68000)
slope = (68000-25000)/(23-3) = 43000/20 = 2150

using the y=mx+b equation for a straight line

sales = 2150month + b
sub in 3,25000)
25000 = 2150(3) + b
b = 18550

sales = 2150month +18550
so if month = 24
sales = ......

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