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 41 months.
$ 106,742
$106,670
$106,800
$106,700

Answer 1

Answer: $106,700

Explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.