Here are two equations that relate two quantities, \(p\) and \(Q\):

Select all statements that are true about \(p\) and \(Q\).

Elena plays the piano for 30 minutes each practice day. The total number of minutes \(p\) that Elena practiced last week is a function of \(n\), the number of practice days.

Find the domain and range for this function.

The graph shows the attendance at a sports game as a function of time in minutes.

1. Describe how attendance changes over time.

   

   Piecewise function on coordinate plane, no grid, origin O. Horizontal axis, time in minutes, from 0 to 70 by 10’s. Vertical axis, attendance, from 0 to 60, by 20’s. Line starts at origin, moves upwards and to the right until 10 comma 50, then a slight uptick until 15 comma 55. Horizontal segment until 45 comma 55, then decline until 50 comma 45. Horizontal until 55 comma 45, then decreasing until 70 comma 0

2. Describe the domain.
3. Describe the range.

Two children set up a lemonade stand in their front yard. They charge \$1 for every cup. The amount of money the children earned throughout the day, \(R\) dollars, is a function of the number of cups of lemonade they sold, \(n\), up to that time. By the end of the day, they sell a total of 15 cups of lemonade.

1. Is 20 part of the domain of this function? Explain your reasoning.
2. What does the range of this function represent?
3. Describe the set of values in the range of \(R\).
4. Is the graph of this function discrete or continuous? Explain your reasoning.

Here is the graph of function \(f\), which represents Andre's distance from his bicycle as he walked in a park.

1. Estimate \(f(5)\).
2. Estimate \(f(17)\).
3. For what values of \(t\) does \(f(t)=8\)?
4. For what values of \(t\) does \(f(t)=6.5\)?
5. For what values of \(t\) does \(f(t)=10\)?