Total distance hiked by Bernardo in June = 12.8 km
Total distance hiked by Bernardo in July = 13.4 km
Then
The total distance hiked by Bernardo in June and July = (12.8 + 13.4) km
= 26.2 km
Now it is given in the question that Nicole hiked for the same total distance in June and July.
Also it is given that
The distance hiked by Nicole in June = 11.5 km
Then
the distance hiked by Nicole in July = (26.2 - 11.5) km
= 14.7 km
So the distance hiked by Nicole in July is 14.7 km. The correct option among all the options given in the question is option "A".
Well, the cheap answer is
f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.
now, what value of "x" makes the absolute value expression to 0?
well, let's just set it to 0 and check,
x - 1 = 0
x = 1
so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at
f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )
Lets say the initial cost is 100 dollars. The agent would buy it for 70 dollars. If he sold it for 10% more than what he bought it for, he would be selling it for 77 dollars, making a total profit of 37 dollars. This would mean that he made a 48% profit.