Answer:
p > -18
Step-by-step explanation:
-2/3p - 4 < 8
-2/3p < 12
p > 12 x -3/2
p > -18
Let's start off by writing equations for each
Let's say the Red Bus Company is Company Red, and the Blue Bus Company is Company Blue to keep it short.
Company Red = 150 + 72(h) whereas h stands for how many hours
Company Blue = 240 + 54(h) whereas h stands for how many hours
Now, we plug in some numbers starting from 1 to see when the companies will match, however, I'll only do 2 examples to keep this short.
Let's start off at 5 hours (you can start off at any, but I prefer to be in the middle to see whether which company surpasses the other in cost and we can build off from there
Company Red:
150 + 72(5)
72 * 5 = 360
150 + 360 = 510
Company Blue:
240 + 54(5)
53 * 5 = 270
240 + 270 = 510
Wow, actually it looks like they charge will be the same after 5 hours. No need to do a second equation since we got it on our first try.
Answer:

Step-by-step explanation:
The average rate of change between two points on a graph is ...
average rate of change = slope = rise/run
The rise over the given interval is the function value at x=8 less the function value at x=5. That is, ...
rise = 1 - 10
The run is the difference in the x-values:
run = 8 - 5
Then the average rate of change is ...
average rate of change = rise/run = (1 -10)/(8 -5)
_____
Here, the points are written as (x, y), so the only pair we're interested in is ...
(5, 10) and (8, 1)
Answer:
x-intercept = (2,0)
y-intercept = (0,6)
Step-by-step explanation:
the x-intercept is when
y=0

so the x-intercept is
(2,0)
the y-intercept is when x=0

so the y-intercept is
(0,6)