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SOL A.6 GRAPHING LINEAR EQUATIONS MINI QUIZ



Short Answer
 

 1. 

An advertising company charges $150,000 each time a 30-second commercial is aired. The cost (in thousands of dollars) to produce the commercial and air it sa001-1.jpg times is given by the function sa001-2.jpg. Graph the function.

sa001-3.jpg
 

 2. 

110 students have signed up to play either soccer or basketball. Any number of soccer or basketball teams can be formed. A soccer team consists of 11 players and a basketball team has 5. This situation can be modeled by the equation sa002-1.jpg where x is the number soccer teams and y is the number of basketball teams formed.
Part A: Find the intercepts of the graph of the equation.
Part B: Graph the equation.
Part C: Give three possibilities for the number of each type of sports team that could be formed.
 

Essay
 

 1. 

You are planning an ornamental garden that has a total area of 200 square feet. There are two sizes of ornamental plants you have chosen for your garden. Each small plant requires 2.5 square feet of space and each large plant requires 8 square feet of space. This situation can be modeled by the equation es001-1.jpg where es001-2.jpg is the number of small plants and es001-3.jpg is the number of large plants to be placed in the garden.
Part A: Find the intercepts of the graph of the equation.
Part B: Graph the equation.
Part C: What do the intercepts mean in this situation?
Part D: What are three possible numbers of small plants and large plants that you can plant in the garden?
Part E: What is the slope of this line?
Part F: Write the equation in slope-intercept form.
Part G: You decide to enlarge the space for the garden to a total of 240 square feet which means the new model will be es001-4.jpg. Graph this equation on the same coordinate plane you used in Part B.
Part H: As you compare the two graphs, did increasing the size of the garden change the slope or es001-5.jpg-intercept? Describe any changes that occurred.
 



 
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