The number of bacteria in a sample increased by a factor of 2 every minute from 9: 05 am to 9: 55 a. m.. the function below shows the number of bacteria in the sample f(x) after x minutes from 9: 05 a. m.: f(x) = 10(2)x which of the following is a reasonable domain for the function?

a. 0 ≤ x ≤ 10

b. 5 ≤ x ≤ 55

c. 0 ≤ x ≤ 50

d. all positive integers

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?