Two people, who are 224 feet apart, start walking toward each other at the same time. One is walking at a rate of 1.5 feet per second and the other at 2 feet per second. Let time zero be when they start walking toward each other; clearly their distance apart is a function of the time elapsed since time zero. (a) Find out how far apart the people are at times t = 0, 1, 3 and 8 seconds. You may wish to record your results in a small table of two columns, the first labeled t and the second labeled as d. (b) Write a brief explanation, in words, of how to find the distance d for any time t. (c) Write an equation for the distance d as a function of the time t. Give units with any constants in your equation. Test it by finding d(0), d(3) and d(8), showing the arithmetic of the units as well as the numbers, and making sure the results agree with what you got in (a). (d) Use your equation from (c) to determine how far apart the people will be after 20 seconds. try showing how the units of the constants are worked with in this case. (e) When will the people be 130 feet apart? When will they meet? (f) What is the mathematical domain of the function? What is the feasible domain?