Decide whether each of the following situations represents a proportional relationship. Explain why or why not.  

1. Karim is ordering video games. Each game costs $\$39.99$, and there is a $\$4.85$ shipping charge per order. How much will it cost him to order any number of video games?

   Hint (a):

   Sketch a scatterplot for the total cost versus different numbers of games ordered. Does the relationship look linear? Does it go through the origin?

2. A given rectangle has an area of $20$ square feet. What is the length for various widths?

   Hint (b):

   What is the length for a width of $1$ foot? $5$ feet? $10$ feet? What kind of relationship do the lengths have?

3. Oleg ran $8.8$ miles in $1$ hour $20$ minutes. Assuming he continues at a constant rate, how long will it take him to run any number of miles?

   Hint (c):

   How long will it take him to run half a mile? $0$ miles? Does this make sense for a proportional relationship?

   Answer (c):

   proportional