Answer:
f(x) = -5x - 14
Step-by-step explanation:
this table represent a straight line : y = mx +c
first find m which is the slope
m = (-24 - -19)/(2-1) = -5
then find c
-19 = -5(1) + c , c = -14
thus f(x) = -5x -14
So 22.5 per barrel
so 22.5
x represents the number of 22.5 barrels
y represents the number of 35 barrels
so
x+y=1250
then find the total cost
1250 barrels
27.5 per so mutiply by 1250 and get 34375 total cost
22.5x+35y=34375
we have 2 senctances
x+y=1250
22.5x+35y=34375
elimination
mulitply first equation by -35 to clear y
-35x-35y=-43750
add to second equation
-35x-35y=-43750
<u>22.5x+35y=34375 +</u>
-12.5x+0y=-9375
-12.5x=-9375
multiply -1
12.5x=9375
divie both sides by 12.5
x=750
subsitute
x+y=1250
750+y=1250
subtract 750
y=500
750 barrells of the 22.5 oil should be included and
500 barrells of the 35 oil should be included
We need another number, we can't find the greatest common factor of one number :)