The slope would be 1/3 because it’s intersecting line A :)
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
Answer:
0:42
Step-by-step explanation:
M=change in y/change in x
Finding gradient of the orginal line
=3+1/0-3
=-4/3
Since parallel lines are equal the other line would be -4/3 (gradient)
Sub (-3;2) into y=mx+c
2=-4/3 (-3)+c
2=4+5
2-4=c
-2 = c
Therefore sub all your info and you get y= -4/3x-2