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questions in picture (final answer only needed) 5. If we Wish to calculate the bod}:r mass index of a person whose weight is in pounds

questions in picture (final answer only needed)

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5. If we Wish to calculate the bod}:r mass index of a person whose weight is in pounds and height is in inches, we can no longer use BMI = m,\" 312. Find the formula for the EMT in that situation. 6. Student A, of height 31 metres and mass m kilograms, has the loud},Ir mass index of BMI = mfhr Student 3 has the same mass as student A, but is 5% taller than student A. Student 0' is of the same height as student A. but their mass is 5% less than the mass of student A. Which of the two students, 5' or C, has lower BMI? 3. Reed Example 2.1.11] {geese} 1.1.11 [elephants]. Use the same idea to build a linear model for the population of Canada based on the data for 1936- and 1996 {look at Table 1.4.], page 29 (geese) Table [1.3.1, page 26 [elephants}). Compare with the result of Example 2.1.11] (geese) 1.1.11 [elephants]. 4. In Example 2.1.9 {geese} 1+1.1 {elephants} we derived the formula that oonverts degrees Celsius to degrees Fahrenheit. Modifg.r the derivation to obtain the formula that converts degrees Fahrenheit to degrees Celsius. '3'. Read Example 2.1.12 [geese] 1.1.13 {elephants}. Assume that the blood eirculatien time is proportional to the third root of the body mass {instead of the fourth root, as in the example}. Based on this modied model, answer the following questions: {a} If the body mass doubles, how does the blood circulation time change? (h) Find a formula for the blood circulation time, knowing that a 5401'] kg elephants has a blood circulation time of 152 seconds. {c} Using your formula from (h), calculate the blood circulation time for a mouse of mass {1.1 kg and a sperm whale of mass 334101] kg, and compare with the answers at the end of Example 2.1.12 {geese} 1.1.13 {elephants}. 1. {a} What do we mean when we ea}F that a anemia,r M is inversely proportional to a quantityr P? {b} What is a linear function? {o} Is He] = 3:1: + 1 + 4 a linear function? (cl) In which case does a linear relationship y = ecs+b represent a proportional relationship between 3 and y? {c} What is a difference between a linear relationship 1: = as: + b {where b 56 ) and a proportional relationship? {f} Give an example of a linear function (as a table of values} which does not represent a proportional relationship. 2. {a} Consider the function x] = 3'", where :c :a- l]. For which 1' is f a decreasing function? {h} In the same coordinate system, sketch the graphs of n?) = 3:3 and gm} = 14 for a: E I]. Which function hie-resales faster? (c) In the same coordinate system, sketch the graphs of m} = $13? and 9(3) = :cli'ra for s 33 . Which function incrmes faster? {d} In the same coordinate system, sketch the graphs of Her} = 33 and mgr) = s\" for x 11: . Winch function decreases faster

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