# Starting at the same point on a straight road Anna and Benny

Last updated: 2/1/2024

Starting at the same point on a straight road Anna and Benny begin biking with velocities in mi hr given by VA t 2t 2 and VB t 5 t respectively Complete parts a through c below 10 0 01 2 3 4 0 1 2 3 4 L hour s 4 hour s while Anna rides 8 miles in hour s while Benny rides 8 miles in V 0 0 1 2 3 4 5 What does this mean geometrically A The area under the line representing Benny s velocity from 0 to 1 is more than the area under the line representing Anna s velocity from 0 to 1 OB The line representing Benny s velocity is decreasing while the line representing Anna s velocity is increasing OC The lines intersect at a t value before the given time indicating that Benny has passed Anna OD The area under each line from 0 to 1 is the same for both riders 4 b If the bikers ride for 1 hour 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 A Since Benny rides 4 5 mile s and Anna rides 3 mile s Benny rides farther OB Anna and Benny both ride mile s OC Since Benny rides mile s and Anna rides mile s Anna rides farther hour s hour s 07 13 012 34 c If the bikers ride for 8 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 OA They tie in the race because they both ride 8 miles in O B Benny wins the race because she rides 8 miles in OC Anna wins the race because she rides 8 miles in Save