A ladybug is resting at the tip of the minute hand of a clock, which is 1 foot long. When it is 12:15, the ladybug is 10 feet above the ground. How far above the ground is the ladybug at these times:

A ladybug is resting at the tip of the minute hand of a clock, which is 1 foot long. When it is 12:15, the ladybug is 10 feet above the ground.

How far above the ground is the ladybug at these times: 12:00, 12:30, 12:45, 1:00?

Estimate how far above the ground the ladybug is at 12:10, 12:20, and 12:40.

Organize your previous answers in a table. Then plot the distances of the ladybug from the ground from 12:00 - 1:00. Make two observations about your graph.

If the ladybug stays on the minute hand, predict how its position relative to the ground will change over the next hour (from 1:00 to 2:00). What about from 2:00 to 3:00?

At 3:00, the ladybug jumped from the minute hand to the hour hand, which is 9 inches long. How far off the ground is it? If you graph the ladybug’s distance from the ground when it’s on the hour hand, how would the graph look? How would this graph compare to the first graph?