Starting at the same point on a straight road, Anna and Benny
begin biking with velocities...
Starting at the same point on a straight road, Anna and Benny begin biking with velocities (in mi/hr) given by VA (t) = 2t + 3 and Vg(t)= 6-t, respectively. Complete parts (a) through (c) below. a. Graph the velocity functions, for 0 st 36. OB. C. O D. OA. Av(t) 16- Av(t) 164 Av(t) 16- Avt) 16- 12 VA) 12 12- 12 VEO) VALO 8-1 8 VA() 8- 82 4 V8 (1) 45 VA(t) 4- 4- Vg (1) 0 0 0- 0 0- 0 0 12 3 4 5 0 1 2 3 4 5 6 1 2 3 4 5 6 12 3 4 b. If the bikers ride for 3 hours, who rides farther? Interpret your conclusion geometrically using the graph in part (a). Select the correct choice and fill in the answer box(es) to complete your choice. (Type integers or decimals.) O A. Since Anna rides 18 mile(s) and Benny rides 13.5 mile(s), Anna rides farther. mile(s), Benny rides farther. OB. Since Anna rides mile(s) and Benny rides OC. Anna and Ben y both ride 2 mile(s). What does this mean geometrically? O A. The area under the line representing Anna's velocity from 0 to 3 is more than the area under the line representing Benny's velocity from 0 to 3. OB. The lines intersect at a t-value before the given time, indicating that Anna has passed Benny. O C. The line representing Benny's velocity is decreasing, while the line representing Anna's velocity is increasing. OD. The area under each line from 0 to 3 is the same for both riders. c. If the bikers ride for 10 miles, who wins the race? Interpret your conclusion geometrically using the graph in part (a). Select the correct choice and fill in the answer box(es) to complete your choice. (Type integers or decimals.) O A. Benny wins the race because she rides 10 miles in hour(s), while Anna rides 10 miles in hour(s). OB. Anna wins the race because she rides 10 miles in hour(s), while Benny rides 10 miles in OC. They tie in the race because they both ride 10 miles in 2 hour(s). hour(s) What does this mean geometrically? Select the correct choice and in the answer box(es) to complete your choice. O A. The area under the line representing Anna's velocity is 10 when t= and the area under the line representing Benny's velocity is 10 when t= OB. The area under each line is 10 when t =