91Ó°ÊÓ

Solve. Katherine is a personal chef. She charges \(\$ 115\) per four-person meal. Her monthly expenses are \(\$ 3,150\). How many four-person meals must she sell in order to make a profit of at least \(\$ 1,900 ?\)

Solve. Five student government officers want to go to the state convention. It will cost them \(\$ 110\) for registration, \(\$ 375\) for transportation and food, and \(\$ 42\) per person for the hotel. There is \(\$ 450\) budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge \(\$ 5\) per car, how many cars must they wash in order to have enough money to pay for the trip?

Solve. Cesar is planning a four-day trip to visit his friend at a college in another state. It will cost him \(\$ 198\) for airfare, \(\$ 56\) for local transportation, and \(\$ 45\) per day for food. He has \(\$ 189\) in savings and can earn \(\$ 35\) for each lawn he mows. How many lawns must he mow to have enough money to pay for the trip?

Solve. Eun-Kyung works as a tutor and earns \(\$ 60\) per hour. She has \(\$ 792\) in savings. She is planning an anniversary party for her parents. She would like to invite 40 guests. The party will cost her \(\$ 1,520\) for food and drinks and \(\$ 150\) for the photographer. She will also have a favor for each of the guests, and each favor will cost \(\$ 7.50\). How many hours must she tutor to have enough money for the party?

Maximum load on a stage In 2014 , a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. Two dozen students were injured. The stage could support a maximum of 12,750 pounds. If the average weight of a student is assumed to be 140 pounds, what is the maximum number of students who could safely be on the stage?

Wedding budget Adele and Walter found the perfect venue for their wedding reception. The cost is \(\$ 9850\) for up to 100 guests, plus \(\$ 38\) for each additional guest. How many guests can attend if Adele and Walter want the total cost to be no more than \(\$ 12,500 ?\)

Solve each inequality, graph the solution, and write the solution in interval notation. $$ x \leq 4 \text { and } x>-2 $$

Solve each inequality, graph the solution, and write the solution in interval notation. $$ 4 x-1<7 \text { and } 2 x+8 \geq 4 $$

Solve each inequality, graph the solution, and write the solution in interval notation. \(4(2 x-1) \leq 12\) and \(2(x+1)<4\)

Solve each inequality, graph the solution, and write the solution in interval notation. \(\frac{3}{4}(x-8) \leq 3\) and \(\frac{1}{5}(x-5) \leq 3\)