You need to be clearer on what the "roots" are, I haven't learned that term ever, but I think I know what you mean...
Answer:
A. 
B. 

C. Both sides will continue to increase as they go because this is an even degree quadratic equation.
D. You use the two x-intercepts to make sure it is in the correct area and since we know the end behavior all you'd have to assume is that it continues to go up so any negative answers you may accidentally receive would be incorrect.
Step-by-step explanation:
for each hour she works , her earnings go up by $10
The first one is the correct answer, because the slope of the line is
$(60-0)/(6.0 hours)
= 60/6 $/hour
=10 $/hour.
The answer is C because it is what you get when you distribute correctly.
If you are going 219 miles and you get 12 miles to 1 gallon of gas, then you need 219/12 gallons of gas. 219/12 = 18.25 You need 18.25 gallons of gas to go 219 miles. At $2.90 per gallon, it will cost you 18.25 * 2.90 = $53.93