Systems of Equations and Inequalities — Test Answers

The constraints of a problem are graphed. What are the vertices of the feasible region?

If C of t is equal to 180 plus 10 t represents ISP A and C of t is equal to 25 t represents ISP B, how long would the service contracts need to be for the total costs to be the same?

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210 -oz container and milk in a 150 -oz container. The store sells the tropical smoothies for 4 dollars and sells the sport smoothie for 3 dollars What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of 300 dollars for the day. The small buses hold 45 students each and have an operating expense of 200 dollars for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

A sports memorabilia store makes 6 dollars profit on each football it sells and 5 point 5 0 dollars profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month?

Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a minimum of 36 plants in his garden. Flowering plants sell for 8 dollars , and nonflowering plants sell for 5 dollars Joey wants to purchase a combination of plants that minimizes cost. Let x represent the number of flowering plants and y represent the number of nonflowering plants. What are the vertices of the feasible region for this problem?

The constraints of a problem are listed. What are the vertices of the feasible region? x plus 3 y is less than or equal to 6 4 x plus 6 y is greater than or equal to 9 x is greater than or equal to 0 y is greater than or equal to 0

A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and 1 and 3 fourths cups of cheese. Its large ziti dish uses 2 cups of sauce and 3 cups of cheese. The business has 100 cups of sauce and 400 cups of cheese on hand. It makes 6 dollars profit on their small dishes and 5 dollars profit on their large dishes. It wants to maximize the profit from selling the two sizes of ziti. Let x represent the number of small dishes and y represent the number of large dishes. What are the constraints for the problem?

What is the maximum value of cap p is equal to 24 x plus 30 y , given the constraints on x and y listed? x plus y is less than or equal to 5 x minus y is greater than or equal to negative 1 x is greater than or equal to 0 y is greater than or equal to 0

Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Power washing a two-story home takes 90 minutes and uses 300 gallons of water. Lee works no more than 40 hours each week, and he uses a maximum of 5 comma 000 gallons of water per week. He charges 90 dollars to wash a one-story home and 150 dollars to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses. What are the constraints for the problem?

The sum of two numbers is 12 The first number, x , is twice the second number, y Which system of equations could be used to find the two numbers?

A chicken farm orders bags of feed from two stores. Store cap x charges 20 dollars per bag, and store cap y charges 15 dollars per bag. The farm must obtain at least 60 bags per week to care for the chickens properly. Store cap y can provide a maximum of 40 bags per week, and the farm has committed to buy at least as many bags from store cap x as from store cap y The chicken farm wants to minimize the cost of ordering feed. Let x represent the number of bags of feed from store cap x and y represent the number of bags of feed from store cap y What are the constraints for the problem?

A deli is offering two specials. The roast beef special gives a profit of 2 point 3 0 dollars per sandwich, and the turkey special gives a profit of 3 point 1 0 dollars per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

Jamie and Owen joined a monthly walking challenge at their youth center. Jamie has already walked 120 minutes and plans to walk 20 minutes per day. Owen plans to walk 30 minutes per day. Let x represent the number of days and y represent the total number of minutes walked during the challenge. Which system of equations can be used to find the number of days it will take for Owen and Jamie to have walked the same number of minutes?

Which describes the ingredients Brad uses to make one batch of snack mix?

After how many hours were the inside and outside temperatures equal?

What is the solution to the system of equations represented by the graph?

What is the meaning of the point 25 comma 20 ?

Which ordered pair is a solution to the system of equations?

Erik's elevation is represented by the equation h is equal to 12 minus 0 point 75 t , and Raj's elevation is represented by h is equal to 0 point 7 5 t What does the point of intersection on the graph represent?