1. A forensicscientist is a person who is trained to takeevidence from crime scenes and determine from that evidence who may have beeninvolved in the crime. Forensic scienceuses the fact that certain bones serve as excellent sources of information todetermine a person's height..
For example, the femur of a male (the bone between the hipand the knee) can determine a person’s height by using the function:
Where is the height in inches and is the length of thefemur in inches
Show all detail calculations. When rounding express your answers inquestion 1 to 1 decimal place precision.(10ths)
a) How tall was a person whosefemur was found to be inches in length.
b) What is an invalid valuefor the domain of this function? Explain why.
c) What is an invalid valuefor the range for this function? Explain why.
2. (Part 2: Point Value 50; a: 15, b: 15; c: 20) A drunken person is stopped and detained bythe police as they exit a bar and prevented from getting in a car anddriving. A blood test is immediatelyrun on this person and the following results are obtained. The immediate result after first drinking (atthis point the hour is zero) and the test shows that the blood alcohol level is.018. Two hours after drinking, the blood alcohol level is .002. Using to represent hours and to represent the blood alcohol level answer the followingquestions in parts a, b and c.
Show all detailedcalculations. When rounding express youranswers in question-2 use 3 decimalprecision.
a). Use the coordinates (0, .018) and (2, .002) tofind the rate at which the blood alcohol level is decreasing over time (slopebetween the two points.)
b) What is the equation of the line for thesetwo points in slope intercept form?
C) If we convert the above linear equation to afunction. How many hours will it take for the blood alcohol level to return to0 ?
For example, the femur of a male (the bone between the hipand the knee) can determine a person’s height by using the function:
Where is the height in inches and is the length of thefemur in inches
Show all detail calculations. When rounding express your answers inquestion 1 to 1 decimal place precision.(10ths)
a) How tall was a person whosefemur was found to be inches in length.
b) What is an invalid valuefor the domain of this function? Explain why.
c) What is an invalid valuefor the range for this function? Explain why.
2. (Part 2: Point Value 50; a: 15, b: 15; c: 20) A drunken person is stopped and detained bythe police as they exit a bar and prevented from getting in a car anddriving. A blood test is immediatelyrun on this person and the following results are obtained. The immediate result after first drinking (atthis point the hour is zero) and the test shows that the blood alcohol level is.018. Two hours after drinking, the blood alcohol level is .002. Using to represent hours and to represent the blood alcohol level answer the followingquestions in parts a, b and c.
Show all detailedcalculations. When rounding express youranswers in question-2 use 3 decimalprecision.
a). Use the coordinates (0, .018) and (2, .002) tofind the rate at which the blood alcohol level is decreasing over time (slopebetween the two points.)
b) What is the equation of the line for thesetwo points in slope intercept form?
C) If we convert the above linear equation to afunction. How many hours will it take for the blood alcohol level to return to0 ?