) A drunken person is stopped and detained by the police as they exit a bar and prevented from getting in a car and driving. A blood test is immediately run on this person and the following results are obtained. The immediate result after first drinking (at this point the hour is zero) and the test shows that the blood alcohol level is .19. Four hours after drinking, the blood alcohol level is .014. Using to represent hours and to represent the blood alcohol level answer the following questions in parts a, b and c.

Show all detailed calculations. When rounding express your answers in question-2 use 3 decimal precision.

a). Use the coordinates (0, .19) and (4, .014) to find the rate at which the blood alcohol level is decreasing over time (slope between the two points.)

b) What is the equation of the line for these two points in slope intercept form?

C. Convert the above linear equation to a function. How many hours will it take for the blood alcohol level to return to 0 ? Show all detail calculations