Ruben is on a special diet. He must consume fewer than 500 calories at a meal that

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Ruben is on a special diet. He must consume fewer than 500 calories at a meal that consists of one serving of chicken and one serving of rice. The meal must contain at least 150 calories from each source.

(a) Using x to represent the number of calories from chicken and y to represent the number of calories from rice, translate the problem into a system of linear inequalities.

(b) Graph the system of linear inequalities and indicate the solution set. Graph calories from chicken on the horizontal axis and calories from rice on the vertical axis.

(c)  There are about 180 calories in 3 oz of chicken and about 200 calories in 8 oz of rice. Select a point in the solution set. For the point selected, determine the number of ounces of chicken and the number of ounces of rice to be served.


Use a system of linear inequalities.

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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