Question

3.) The distance in y miles covered by a rabbit in x hours can be represented by the equation y = 35x.

The distance covered by a grizzly bear is shown in the graph below.
Grizzly Bear
9
Y
Distance (mi)
80
70
HOTE 60
50
40
30
20
10
0
(1,30)
(2.60)
2
Time (hours)
3
4
60
T3
Which animal is faster? Justify your answer.
Rabbit
y = 35x
V=mx
M-slope

Answer 1

The rabbit's speed is 35 mph as given by the equation y = 35x, and using the slope from the graph, the grizzly bear's speed is determined to be 30 mph. Hence, the rabbit is faster.

Step-by-step explanation:

To determine which animal is faster, the speed of each animal must be compared. The speed of the rabbit is given by the equation y = 35x, where y is the distance in miles and x is the time in hours. The speed of the rabbit is the coefficient of x in the equation, which is 35 miles per hour (mph).

The speed of the grizzly bear can be determined from the slope of the line in the given graph. The two points provided on the graph are (1, 30) and (2, 60). Using these points, the slope m can be calculated as the change in distance divided by the change in time, which results in m = (60 - 30) / (2 - 1) = 30 mph.

Since the speed of the rabbit is 35 mph and the speed of the grizzly bear is 30 mph, the rabbit is the faster animal.