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)
Antonio
OMATO
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 complete question is attached.

Time is on the horizontal axis.

Distance is on the vertical axis.

If you look first at y-axis (vertical), you will see that both lines (curves) go upto a distance of 4 miles. So, the race is of 4 miles. Both of them finish.

Now,

If you look at the corresponding x-axis value of where each curve ends, you will see:

Antonio finishes at 15 mins

Juan finishes at 13 minutes

So we can successfully say that Juan wins the race since he finishes 2 mins faster than Antonio.

Juan wins the race

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you