8th Grade Functions: Bike Race
Antonio and Juan are in a 4-mile bike race. The graph below shows the distance
of each racer (in miles) as a function of time (in minutes).
distance (miles)
Juan
Antonio
3
6
9
12
15
t (minutes)
a. Who wins the race? How do you know?

Juan wins the race

Step-by-step explanation:

The graph is shown in attached image.

The black line is Juan's graph.

The green line is Antonio's graph.

The graph shows the distance (y-axis) with time (x-axis).

The end of the curve(s) means the end of the race. Both curve's ending point in y-axis is 4 miles so the end of the race is 4 miles.

But in x-axis, we see the time:

Juan finishes at 13 minutes

Antonio finishes at 15 minutes

Definitely Juan wins the race

answer: the answer is 127 degrees

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐