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: slight chance that it will happen

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: