Introduction to Systems of Linear Equations Answers

The graph represents this system of equations.

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

Paul is comparing two high-speed Internet service providers (ISPs) for his business. The graph represents the cost of each ISP as a function of t, the duration in months of a service contract.

The product of two numbers is 32. The first number, x, is one-half of the second number, y.

The cost in dollars to produce x cups of lemonade is represented by the function C(x)=10+0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x)=0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

The graph below represents the possible dimensions of a horse corral to be constructed behind a barn. The width of the corral is represented by the equation w = l where w represents width in feet and l represent length in feet. The fencing used around the corral is represented by the line w = .

The sum of two numbers is 28. The first number, x, is three times the second number, y.

The graph represents this system of equations:

For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?