Solve the problem.The lower and upper limits of ideal weights of men with a small frame in Country X are listed in the table for various heights. Ideal Weights of Men with Small Frame in Country X Ideal WeightHeight (pounds)(inches) Lower Limit Upper Limit63 132 13865 139 14767 145 15170 152
15772 156 16173 161 167 75 165 170Let w be the ideal weight (in pounds) of a man in Country X who has a small frame and a height of h inches. Linear models for the lower and upper limits of the ideal weights are w = 2.54h - 20.14 Upper limit w = 2.69h - 36.45 Lower limit (i) Find a system of inequalities that describes the ideal weights of men in Country X who have a small frame and are between the heights of 61 and 78 inches, inclusive.(ii) Graph the solution set of the system of inequalities that you found in part (i).(iii) What is the ideal weight range of men in Country X who have a small frame and a height of 72 inches?
What will be an ideal response?
| (i) | w ? 2.54h - 20.14 |
h ? 61
h ? 78
(ii)
(iii) The ideal weights are between 157 and 163 pounds, inclusive.
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Provide an appropriate response.Without solving, determine whether the following system of linear equations has a unique solution, or infinitely many solutions.
What will be an ideal response?