## Real World Applications – Algebra I

### Topic

How are points accumulated in MotoGP?

### Student Exploration

MotoGP is the top class of the World Championship Grand Prix for motorcycle road racing. For this class, one of the favorite riders is Jorge Lorenzo. By July 2012, he had won

We can represent this as an expression (and, if you’re daring, as an equation). We can let

If the number of points awarded for

Now, what values can we substitute for

If we substituted 26 in for

If we substituted 27 in for

Typically, points in races are awarded as whole numbers. So, first place must not be worth 20 points.

What if

Now, what value of

By evaluating expessions, we were to find out how many points were awarded to both

### Extension Investigation

Try researching another sporting event and find out how points are awarded for each game. It’s different for every sport! Using a similar method that we used here for this investigation, how can you use expressions to figure out how many points are awarded to a specific player if you only have the total number of wins and the total number of points?

### Resources Cited

www.motogp.com