is the percentage of homes in the United States that have a landline phone in year . is the percentage of homes with only a cell phone. Here are the graphs of and .

Graph of 2 functions. Blue solid line, H of t, represents percentage of homes in US with a landline phone in year t. Red dotted line, C of t, represents the percentage of homes with only a cell phone. H of 2006 is about 85. C of 2006 is about 14. C of 2008= 20. Lines intersect in 2015. The rate of increase in percentage of cell phones is increasing at approximately the same rate as the rate of home phones is decreasing.

1. Estimate and . Explain what each value tells us about the phones.
2. What is the approximate solution to ? Explain what the solution means in this situation.

3. Determine if each equation is true. Be prepared to explain how you know.
4. Between 2004 and 2015, did the percentage of homes with landlines decrease at the same rate at which the percentage of cell-phones-only homes increased? Explain or show your reasoning.

The number of people who watched a TV episode is a function of that show’s episode number. Here are three graphs of three functions—, and —representing three different TV shows.

10 data points on coordinate plane, no grid, origin O. Horizontal axis, episode number, from 0 to 10 by 2’s. Vertical axis, audience in millions, from 0 to 2 by 0 point 5s. Approximate data points as follows: 1 comma 0 point 75, 2 comma 0 point 9, 3 comma 0 point 95, 4 comma 1 point 25, 5 comma 1 point 3, 6 comma 1 point 4, 7 comma 1 point 75, 8 comma 1 point 6, 9 comma 1 point 8, 10 comma 2.

A graph, with origin O. The horizontal axis, episode number, scale from 0 to 10 by 2s. The vertical axis, audience in millions, scale from 0 to 6 by 1s. Points plotted are 1 comma 9.8, 2 comma 6.1, 3 comma 4.7, 4 comma 4.5, 5 comma 4.3, 6 comma 4.1, 7 comma 3.6, 8 comma 3.2, 9 comma 3.1, and 10 comma 3.0.

10 data points on coordinate plane, no grid, origin O. Horizontal axis, episode number, from 0 to 10 by 2’s. Vertical axis, audience in millions, from 0 to 6 by 1’s. Approximate data points as follows: 1 comma 2 point 5, 2 comma 2 point 6, 3 comma 2 point 4, 4 comma 2 point 5, 5 comma 5 point 5, 6 comma 4, 7 comma 3, 8 comma 2 point 9, 9 comma 2 point 5, 10 comma 2 point 5.

1. Match each description with a graph that could represent the situation described. One of the descriptions has no corresponding graph.

   1. This show has a good core audience. They had a guest star in the fifth episode that brought in some new viewers, but most of them stopped watching after that.
   2. This show is one of the most popular shows, and its audience keeps increasing.
   3. This show has a small audience, but the show is improving, so more people are noticing.
   4. This show started out huge. Even though it feels like it crashed, it still has more viewers than another show.
2. Which is greatest, , , or ? Explain what the answer tells us about the shows.

3. Sketch a graph of the viewership of the fourth TV show that did not have a matching graph.

   

1. Here are graphs that represent two functions, and .

   Decide which function value is greater for each given input. Be prepared to explain your reasoning.

   1. or
   2. or
   3. or