3.8 Homework - Exponential Growth and Decay (Homework)

1. [-/1 Points] DETAILS SCALCET9 3.8.001.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A population of a particular yeast cell develops with a constant relative growth rate of 0.4461 per hour. The initial population consists of 3.1 million cells. Find the population size (in millions of cells) after 3 hours. (Round your answer to one decimal place. ) P ( 3 ) = million cells Need Help? Read It Watch It Master It 2. [-/1 Points] DETAILS SCALCET9 3.8.009.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The half-life of cesium-137 is 30 years. Suppose we have a 160 mg sample. (a) Find the mass (in mg) that remains after t years. y(t) = mg (b) How much of the sample (in mg) remains after 80 years? (Round your answer to two decimal places.) mg (c) After how many years will only 1 mg remain? (Round your answer to one decimal place.) t = yr Need Help? Read It Watch It Master It3. [-/1 Points] DETAILS SCALCET9 3.8.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A curve passes through the point (0, 3) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? (Use x as the independent variable.) y (x ) = Need Help? Read It 4. [-/1 Points] DETAILS SCALCET9 3.8.015.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A roast turkey is removed from an oven when its temperature has reached 185F and is placed on a table in a room where the ambient temperature is 75F. (Round your answers to the nearest whole number.) (a) If the temperature of the turkey is 150F after half an hour, what is the temperature (in OF) after 40 minutes? T(40) = OF (b) After how many minutes will the turkey have cooled to 105OF? t = min Need Help? Read It Watch It Master It