2. Suppose you can spend no more than 15 hours a week on two jobs. Moving lawns pays P30/hour and caregiving pays P50/hour. You need to earn at least P600 per week. Write the system of linear inequalities that represents the given situation,

40 19) A radio station is giving away tickets to a concert. They plan to give away tickets for seats that cost $10 and $20. They want to give away at least 20 tickets, totaling no more than $280. Write and graph a system of inequalities to represent the possible combination of tickets that can be given away. 30 20 10 10 20 30

Colton owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3.75 and each burrito for $6. Colton must sell at least $540 worth of tacos and burritos each day. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Casey works at the Sports Gym as a counselor for x hours a week after school a job that pays $3 an hour . She has accepted a job that pays $9 an hour at Carvel working y hours per week. She will work both jobs. She is able to work no more than 17 hours per week . Casey wants to earn at least $72a. Write a system of linear inequalities that can be used to find the possible combinations of hours working at the Sports Gym and at Carvel so Casey earns at least $72.

A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and $12.00, respectively. The theatre must take in a minimum of $1,200.00 per performance. Express this information as a system of inequalities and graph the system of these inequalities.

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A drugstore is selling two types of notebooks for $3 and $4. If a person wants to spend between $10 and $15 on notebooks, write the system of inequalities that represents this situation.

Determine whether the statement, "The reason that systems of linear inequalities are appropriate for modeling healthy weight is because guidelines give healthy weight ranges, rather than specific weights, for various heights.", makes sense or does not make sense, and explain your reasoning.

5. Valencia babysits for $5 an hour. She also works as a tutor for $8 an hour. She is not allowed to work more than 20 hours a wee and she wants to earn at least $120. Write a system of inequalities. 6. y>-3x+5 a. b. Without graphing, determine which of the following satisfies the inequalities and explain. 5 hours babysitting, 10 hours tutoring 5 hours babysitting, 15 hours tutoring 8 hours babysitting, 13 hours tutoring The regions below were formed by graphing several inequalities. Write the coordinates of each vertex of the figure. Study each graph, and determine the inequalities used.

Producing a bookshelf requires 10 boards and 18 screws. Producing a TV stand requires 7 boards and 16 screws. Each bookshelf yields $22 profit, and each TV stand yields $26 profit. There are 55 boards and 180 screws available. Find the number of bookshelves and number of TV stands to produce to maximize profit? Let X represent the number of bookshelves and Y represent the number of TV stands. What are the resource inequalities for the situation above? 10X +7Y ≤ 22; 18X + 16Y ≥ 26; X ≥ 0; Y ≥ 0 10X +7Y ≤ 55; 18X + 16Y ≤ 180; X ≥ 0; Y ≥ 0 10X+18Y ≤ 55; 7X + 16Y ≤ 180; X ≥ 0; Y ≥ 0 None of the answers provided is correct.