Answer: D. (8, 4)
Step-by-step explanation:
Answer:
Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope m=%281600-800%29%2F%280.15-0.55%29
m=800%2F0.40
m=2000
Using point-slope form for a line, and the lower-y point,
y-800=2000%28x-2.55%29
highlight%28y=2000%28x-2.55%29%2B800%29
Based on point P(0,16), we substitute in the parabola to find a.
16=a(0-3)^2-2 => a=(16+2)/9=2
so the parabola is
y=2(x-3)^2-2 ..........................(1)
Solve for zeroes of (1);
0=2(x-3)^2-2 => (x-3)^2=1 => x=2 or x=4
Now the line passes through (0,16), (4,0) => y,x intercepts are 16 & 4.
Using the symmetric form
x/4+y/16=1
4x+y=16 => y=16-4x
