The following table provides data on three popular protein supplements. (Figures shown correspond to a single serving.) Protein (g) Carbohydrates Sodium Cost (g) ($) (mg) Designer Whey (Next) Muscle Milk (Cytosport) Pure Whey Protein Stack (Champion) 18 32 24 2 16 3 80 240 100 0.50 1.60 0.60 You have a mixture of Designer Whey and Muscle Milk that costs a total of $19 and supplies exactly 115 grams of carbohydrates. How many grams of protein does it supply? g

The following table provides data on three popular protein supplements. (Figures shown correspond to a single serving.) Protein (g) Carbohydrates Sodium Cost (g) ($) (mg) Designer Whey (Next) Muscle Milk (Cytosport) Pure Whey Protein Stack (Champion) 18 32 24 2 16 3 80 240 100 0.50 1.60 0.60 You have a mixture of Designer Whey and Muscle Milk that costs a total of $19 and supplies exactly 115 grams of carbohydrates. How many grams of protein does it supply? g

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.2: Addition And Subtraction Of Matrices

Problem 47E: OTHER APPLICATIONS Car Accidents The tables in the next columns give the death rates, per million...

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LIFE SCIENCE APPLICATIONS Body Surface Area The surface area of a human in square meters has been approximated by A(h,m)=0.024265h0.3964m0.5378, where h is the height in cm and m is the mass in kg. Find A for the following data. Source: The Journal of Pediatrics. a. Height, 178cm; mass, 72kg b. Height, 140cm; mass 65kg c. Height, 160cm; mass, 70kg d. Using your mass and height, find your own surface area. e. f.
Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.
5. Use the table feature on a graphing calculator or a spreadsheet to develop a table that shows how much of the drug is present in a patients system at the end of each 1/2 hour time interval for 10 hours for the model found in Exercise 2a. A chart such as this provides the health care worker with immediate information about drug levels. Exercise: 2. A drug is given to a patient by IV infusion at a drip rate of 300mg/hr. The half-life of this drug is 3 hours. a. Find a model of the amount of drug in the bloodstream t hours after the IV infusion begins.
Weight Versus Height The following data show the height h, in inches, and weight w, in pounds, of an average adult male. h 61 62 66 68 70 72 74 75 w 131 133 143 149 155 162 170 175 a Make a power model for weight versus height. b According to the model from part a, what percentage increase in weight can be expected if height is increased by 10?
OTHER APPLICATIONS Car Accidents The tables in the next columns give the death rates, per million person trips, for male and female drivers for various ages and number of passengers. Male Drivers Number of Passengers Age 0 1 2 3 16 2.61 4.39 6.29 9.08 17 1.63 2.77 4.61 6.92 30-59 0.92 0.75 0.62 0.54 Female Drivers Number of Passengers Age 0 1 2 3 16 1.38 1.72 1.94 3.31 17 1.26 1.48 2.82 2.28 30-59 0.41 0.33 0.27 0.40 a. Write a matrix for death rate of male drivers. b. Write a matrix for death rate of female drivers. c. Use the matrices from parts a and b to write a matrix showing the difference between the death rates of males and females. d. Analyze the results of part c and make some suggestions on how to reduce the rates.