C. 3, would be the greatest.
Answer:
16.4 miles
Step-by-step explanation:
In this scenario, we are provided with the total distance of the race which Ben's dad ran as well as the fraction of that distance that Ben ran from his goal. In order to calculate the distance in miles that Ben ran we simply need to first multiply the total distance of the race by the fraction that is Ben's goal. We can simplify this even more by dividing the fraction and turning it into decimal form
3 / 4 = 0.75
0.75 * 26.2miles = 19.65miles
Now we can see that Ben's goal was to run 19.65miles but he was only able to run 5/6 of that. Therefore we can multiply this fraction by his goal to get the actual distance that he ran.
5 / 6 = 0.8333
0.8333 * 19.65 = 16.375
Finally, we can see that Ben ran a total of 16.4 miles (rounded to the nearest tenth)
F(-4)= -3(-4)^2 + 5(-4)=-68
Option C is correct.
Hope it is useful!!
