Topic: Linear functions and their inverses Carlos and Clarita have a pet sitting business. When they were trying to decide how many each of dogs and cats they could fit into their yard, they made a table based on the following information. Cat pens require 6 ft2 of space, while dog runs require 24 ft2 . Carlos and Clarita have up to 360 ft2 available in the storage shed for pens and runs, while still leaving enough room to move around the cages. They made a table of all of the combinations of cats and dogs they could use to fill the space. They quickly realized that they could fit in 4 cats in the same space as one dog. cats 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 dogs 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 8. Use the information in the table to write 5 ordered pairs that have cats as the input value and dogs as the output value. 9. Write an explicit equation that shows how many dogs they can accommodate based on how many cats they have. (The number of dogs "d" will be a function of the number of cats "c" or 10. Use the information in the table to write 5 ordered pairs that have dogs as the input value and cats as the output value. 11. Write an explicit equation that shows how many cats they can accommodate based on how many dogs they have. (The number of cats "c" will be a function of the number of dogs "d" or c = g(d).) Base your answers in #12 and #13 on the table at the top of the page. 12. Look back at problem 8 and problem 10. Describe how the ordered pairs are different.