The independent variable is the # of hrs.
the dependent variable is # of gallons.
the slope is -125.
the y intercept is 13000
3000
Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.
Step-by-step explanation:
the given function: 
Where C = cost (in dollars) and x is the number of miles you drive the truck.
when we compare the given function by slope- the intercept form y=mx+b, what we get is
Slope m = 0.5 whose fraction can be written as 
And y-intercept b =70.
for us to be able to graph it, we need to plot y-intercept from 70 and then plot some more points by applying or increasing the points by 
the shaded lines on the graph indicates the given function.
cost is at $70 for 0 number of miles. travelled.
Thus;
the Domain: x≥0 and Range :
≥
We have to integrate the expression in order to find average rate of change.

Now


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