Solutions+to+the+questions

Graphical model questions
1. Mbita BONUS: 665 min

2. Adam - This is the table of values. Graph is easy from there. Make sure the 'acceleration' is a curve.
 * **// Time (min) //** || **// Elevation (meters) //** ||
 * 0 || 120 ||
 * 2 || 90 ||
 * 2.2 || 50 ||
 * 6.2 || 100 ||
 * 6.25 || 40 ||
 * 7.25 || 40 ||
 * 10.25 || 0 ||

3. Tasha

 * Time(min) || Height(m) ||
 * 0 || 0 ||
 * 20 || 100 ||
 * 70 || 150 ||
 * 115 || 300 ||
 * 130 || 300 ||
 * 175 || 400 ||
 * 215 || 500 ||

4. Megan
 * Time(min) || Speed(m/s) ||
 * 0-20 || 5 ||
 * 20-70 || 1 ||
 * 70-115 || 3.3 ||
 * 115-130 || 0 ||
 * 130-175 || 2.2 ||
 * 175-215 || 2.5 ||


 * **Distance** || **Speed** || **Time** ||
 * 80m || 7km/h || 0.66mins ||
 * 5km || 60km/h || 4.98mins ||
 * 10km || 80km/h || 7.50mins ||
 * 1km || 50km/h || 1.2mins ||
 * 150m || 6km/h || 1.5mins ||
 * Time = Distance / Speed
 * Pay attention to units

Polynomial
1. Yi a)vertex(1.25, 14.125) rate of change=(14.125-14.12499998)/(1.2501-1.25) rate of change=2.0x10­-4 m/s (or 0m/s because the diver is at maximum height) b) (0,11) and (1.2,14.12) average rate of change = (14.12-11)/(1.2-0) average rate of change = 2.6 m/s

2.Tris a) Avg. speed = d(6) - d(2) / (6-2) = (1820-1980) / (4) = -40 ft/s b) Instantaneous = -50.05 ft/s

3. George a) Average rate of change = 65 b) Instantaneous rate of change = 29.95 (30 if rounded) and the population size for the year 2012 would be 5040.

4. Christa a) 6.21 m/s b) 5000 m/s at 2:30pm. (2:30pm meaning t=150)

Rational
1. Cheryl a) 0.0201 g/m^3/min b) 0.0586 g/m^3/min

3. Monette a) 0.9804 b) 0.5917

Exponential
1. Celton a) What is the average rate of growth in the first 5 minutes? 75 per minute b) What is the instantaneous rate of growth at 5 minutes? 82 per minute

2. Alex a) 1.25 x 10^12 fatigue-points/second b) yes, 23 fatigue-points/second

3. Natasha a) During the second minute, what is the average rate of bacteria growth? 11.68/min b) What in the instanteous rate at 5 minutes? 171.5/min

4. Matthew a: 20,345,052.28 b: $25000

1. Katie a) What is the average rate of change for 3<=x<=8 minutes? 0cm/min b) what is the instantaneous rate of change at x=5 minutes? 3cm/min
 * Trigonometric**

2.Rejy a) average rate of change during the first minute = .000796 m/s b)instantaneous rate of change at 22 seconds = 1.98 m/s

3. Mark a) the instantaneous rate of change for pi/4 was 39.4 inch/s b) the average rate of change for pi to 2pi was 0 inch/s

4. Brittany a) The average rate of change is -0.07069m/s b) The instantaneous rate of change is 0.39269907m/s