A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an exponential model for the size of the culture as a function of time t in hours. f(t) = 800·1.6t2​       Use the model to predict how many bacteria there will be after 2 days. (Round your answer to the nearest hundred thousand.)  ______ bacteria

Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

A: Given, the remaining amount of caffeine after t hours is,                C = 80(2)-t/6 Where half…

Q: A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an…

A:

Q: Population A increases at a constant rate of 4%/yr. Population B increasesat a constant rate of 500…

A: Population A increases at a constant rate of 4%/yr. Population B increasesat a constant rate of 500…

Q: The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t) (in grams) of a…

A:

Q: 4. Write a linear function f (x) and an exponential function g(x) going through (0,8) and (-3,9)…

A:

Q: t/5 Write the exponential function y = 3(0.25)" in the form y = a ·16*'. Give the values of all…

A:

Q: y = Tell whether the function represents exponential growth or exponential decay. Then graph the…

A: Disclaimer: Since you have posted multiple question, we will answering the first question for you,…

Q: The population of a certain bacteria can be modeled by P= 50(1 + r) where t is the time in hours.…

A: Definition used -       Population growth can be given by the following equation -…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.