For each of the following coordinate pairs, find the equation of the exponential function, in the form y=a(b)^x, that passes through the pair. Show the work that you use to arrive at your answer.

(a) (0,10) and (3, 80) (b) (0,180) and (2, 80)

Please explain how to answer this as I've got two pages of these questions.

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?