6Example: Intersection points

Now the hare and the tortoise race again, but this time the tortoise has a lead of $\sf 4 \; {m}$.

The straight line equation for the tortoise and the straight line equation for the hare are now given by:

Tortoise: $\displaystyle \sf y= \frac{1}{2}x +4$

Hare: $\displaystyle \sf y = \frac{3}{4}x$

Again, we want to find out at what time $\sf x$ the hare overtakes the tortoise.

a) Draw the equations of the straight lines in the coordinate system.

b) Read off the intersection point from the drawing.

c) Interpret what this intersection point means for the meeting point of both animals.