91Ó°ÊÓ

Caitlyn sells her drawings at the county fair. She wants to sell at least 60 drawings and has portraits and landscapes. She sells the portraits for \(\$ 15\) and the landscapes for \(\$ 10\). She needs to sell at least \(\$ 800\) worth of drawings in order to earn a profit. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Will she make a profit if she sells 20 portraits and 35 landscapes? (d) Will she make a profit if she sells 50 portraits and 20 landscapes?

Mark is attempting to build muscle mass and so he needs to eat at least an additional 80 grams of protein a day. A bottle of protein water costs \(\$ 3.20\) and a protein bar costs \(\$ 1.75 .\) The protein water supplies 27 grams of protein and the bar supplies 16 gram. If he has \(\$ 10\) dollars to spend (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could he buy 3 bottles of protein water and 1 protein bar? (a) Could he buy no bottles of protein water and 5 protein bars?

Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7 grams of protein and 110 calories. An ounce of parmesan cheese has 11 grams of protein and 22 calories. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could she eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese? (a) Could she eat 2 ounces of cheddar cheese and 1 ounce of parmesan cheese?