Camping with Ms. Frizzle

Here was the task.
Going to Camp

 

The senior class is planning a wellness summer camp for two weeks.  The bus fare costs $500 and the cost is $275 per person for the two weeks.

 

Generate an equation for the total cost for the trip if n people are attending.

 

If everyone is going to share the costs equally then generate an equation for the cost per person if n people are attending.

 

Now if 8 people that want to attend cannot (because they cannot afford it) and the rest of the group decides to pay for them by splitting the extra costs equally. Generate an equation for the cost per person.

 

Create a table and sketch the graph for the last scenario.

State all of the following characteristics for the function in the last scenario: X Intercepts

Roots Zeros, Y Intercept, Domain, Range, End Behaviour, Maximum / Minimum Point(s), Intervals of increase, Intervals of decrease, Intervals of concave up, Intervals of concave down, Inflection Point(s), Asymptotes

Here is the student work:



 

 

 

Some take-aways.

Vertical asymptotes occur at the zeros of the denominator of a rational function.

Zeros occur at the zeros of the numerator of a rational function.