I believe the answer is ab
Answer:
D. on edge
Step-by-step explanation:
Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so
![5k+2> 0\\ \\k > -\frac{2}{5}](https://tex.z-dn.net/?f=5k%2B2%3E%200%5C%5C%20%5C%5Ck%20%3E%20-%5Cfrac%7B2%7D%7B5%7D)
The value of k is greater than -2/5
Analyze the y-intercept
![(2-\frac{4}{3}k) < 0\\ \\ 2 < \frac{4}{3}k\\ \\1.5 < k\\ \\k > 1.5](https://tex.z-dn.net/?f=%282-%5Cfrac%7B4%7D%7B3%7Dk%29%20%3C%200%5C%5C%20%5C%5C%202%20%3C%20%5Cfrac%7B4%7D%7B3%7Dk%5C%5C%20%5C%5C1.5%20%3C%20k%5C%5C%20%5C%5Ck%20%3E%201.5)
1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
To work this out you need to do 80 - 64 - 4.16 = 11.48
he received $11.48 change