Darnell and Hector ride their bikes at constant speeds. Darnell leaves Heclor's house to bike home. He can bike the show questions miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.
1

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?