A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear. If 190 units sold results in $2760 profit and 240 units sold results in $5460 profit, write the profit function for this company.

:= 220, y = 5260 and x = 170, y = 2360

220m + b = 5260

170m + b = 2360

subtraction eliminates b, find x

50m + 0 = 2900

m = 2900/50

m = 58 is the slope

:

find b

58(170) + b = 2360

b = 2360 - 9860

b = -7500

:

write the profit function for this company

P(x) = 58x - 7500

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)