30 POINTS!! Part 1
You have a dog walking business. You charge based on the weight of the dogs. For a 45-minute walk, your prices are:

For dogs that weigh 0 up to 15 lbs. you charge $5.00.
For dogs between 15 lbs. and 45 lbs. you charge $7.00
For dogs over 45 lbs. you charge $9.00.

Answer the following questions:
If a customer has a 6 pound Chihuahua how much would you charge?
If a customer has a 65 pound Labrador how much would you charge?
Define the variables:
Write a piecewise function for dog walking business, including the conditional statement for the variables.
Graph the function.

Part 2

To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by half a mile each of the following weeks. How long before the marathon should she start?

There are many ways to approach this problem. Some include, make a table, write a function, create ordered pairs...

Identify and label the variables.
Make a table for up to 6 weeks to see a pattern.
Write an equation to represent the nth term of the sequence.
If the pattern continues, during which week will she run 10 miles per day?
Is it reasonable to think that this pattern will continue indefinitely? Explain.
How long before the marathon should she start?