As part of a competition, Diego must spin around in a circle 6 times and then run to a tree. The time he spends on each spin is represented by , and the time in seconds he spends running is represented by . He gets to the tree 21 seconds after he starts spinning.

1. Write an equation showing the relationship between and .
2. Rearrange the equation so that it shows as a function of .
3. If Diego takes 1.2 seconds to spin around each time, how many seconds did he spend running?

The table and graph represent two functions. Use the table and graph to answer the questions.

A coordinate plane, x, 0 to 14 by ones, y, negative 4 to 4. The graph begins at the origin, increases through approximately (2 point 5 comma 4), then decreases through (5 comma 0) to (7 point 5 comma negative 4), then increases through (10 comma 0) to (12 point 5 comma 4) then begins to decrease again.

1. For which values of is the output from the table less than the output from the graph?
2. In the graphed function, which values of give an output of 0?

A cone has a radius of 3 units and a height of 4 units.

1. What is the volume of this cone?
2. Another cone has quadruple the radius and the same height. How many times larger is the new cone’s volume? Explain how you know.