Alexa is a wildlife field researcher who is studying the American black bear. American black bears are the most common bears in the United States. They can be found in 11 of the 21 counties in New Jersey. Most wild male black bears weight between 125 and 600 pounds, while females generally weigh between 90 and 300 pounds. Their weight depends on their age, the season of the year, and how much food is available. a. Write inequalities to show the range of weights for male and female black bears
b. Black bears hibernate for about 5 months in the winter. They must store 50 to 60 pounds of fat to survive hibernation. During the month before hibernation, black bear may consume up to 20,000 Calories per day. If a bear consumes an average of 18,500 Calories per day in the month of August, about how many total calories will he consume that month?
c. Use the graph to estimate how much a male bear, weighing 2/3 pound at birth and 400 pounds at the age of his death, 20 years, weighed when he was 7 years old.
d. A white-tailed deer is running from a black bear at 20 miles per hour. It is 1/3 miles in front of the bear. The bear is running at 30 miles per hour. How many minutes will it take the bear to catch the deer? Assume both continue running at a constant pace.
e. During the hibernation months, the bear's heart rate slows to about 10 beats per minute. If the bear hibernates for 155 days, how many times will its heart beat?