Question

The distance d in miles that can be covered by a rabbit in X hours is given in the equation y = 30 x The distance covered by a bear is shown on the graph. Which animal is faster?
ps i cant put the graph but the points on the graph is Y=50 X=2 then there is a line going to the origin




HELP PLZ

Answer 1

Answer:

Rabbit is faster than bear.

Step-by-step explanation:

Speed of rabbit or bear is determined by their rate of change of their distances with time.

The distance covered by rabbit in $x$ hours is given as:

$y=30x$

The above equation is of the form $y=mx$, where, $m$ is the rate of change of $y$ with $x$.

Therefore, the rate of change of rabbit's distance with time is 30 mi/h.

Now, from the graph, the slope is given as the rise over run.

Rise is 50 miles and run is 2 miles.

So, rate of change of bear's distance with time is, $m_b=\frac{50}{2}=25\ mi/h$

Now, 30 is greater than 25. So, rabbit is faster than bear.