The following data were collected by placing a temperature probe in a portable heater, removing the probe, and then recording temperature over time.

#99.) a.) Using a graphing utility, draw a scatter diagram for the data.

#99. b) Using a graphing utility, build an exponential model from the data.

#99. c) Graph the exponential function found in part (b) on the scatter diagram.

#99. d) Predict how long it will take for the probe to reach a temperature of 110 Fahrenheit.

#100.) The following data represent the wind speed (mph) and wind chill factor at an air temperature of 15 Fahrenheit.

#100. a) Using a graphing utility, draw a scatter diagram with wind speed as the independent variable.

#100. b) Using a graphing utility, build a logarithmic model from the data.

#100. c) Using a graphing utility, draw the logarithmic function found in part (b) on the scatter diagram.

#100. d) Use the function found in part (b) to predict the wind chill factor if the air temperature is 15 Fahrenheit and the wind speed is 23 mph.

#101. Jack and Diane live in a small town of 50 people. Unfortunately, both Jack and Diane have a cold. Those who come in contact with someone who has this cold will themselves catch the cold. The following data represents the number of people in the small town who have caught the cold after t days.

#101. a) Using a graphing utility, draw a scatter diagram of the data. Comment on the type of relation that appears to exist between the days and number of people with a cold.

#101. b) Using a graphing utility, build a logistic model from the data.

#101. c) Graph the function found in part (b) on the scatter diagram.

#101. d) According to the function found in part (b), what is the maximum number of people who will catch the cold? In reality, what is the maximum number of people who could catch the cold?

#101. e) Sometime between the second and third day, 10 people in the town had a cold. According to the model found in part (b), when did 10 people have a cold?

#101. f) How long will it take for 46 people to catch the cold?