Answer:
(-2,4) , (0,5) , (2,6) , (4,7)
Step-by-step explanation:
you just substitute every value of x in the equation and you get y
We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30
The first case occurs in
for
and
. Extending the domain to account for all real
, we have this happening for
and
, where
.
The second case occurs in
when
, and extending to all reals we have
for
, i.e. any even multiple of
.
Try them and see.
For the first:
3(-3) + 0 = -9 . . . . not > -8
3(-2) + (-1) = -7 . . . is > -8 . . . . . 2) (-2, -1) is a solution
For the second:
4 - 4(-2) = 12 . . . . not ≤ -6
-2 -4(1) = -6 . . . . . is ≤ -6 . . . . . . 2. (1, -2) is a solution
