 # Jeopardy SlopeIntercept Form Direct Variation Function Form A

• Slides: 26 Jeopardy Slope-Intercept Form Direct Variation Function Form A Mixture of Things 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500 100 Find the value of x so that the line passing through the two points is perpendicular to the line. ( -5, -2) and (0, 0) (1, 6) and (x, 7) 200 Find the value of x so that the line passing through the two points is parallel to the line. (-2, 8) and (-4, -6) (-5, x) and (0, -3) 300 Find the value of x so that the line passing through the two points is perpendicular to the line. ( -2, -7) and (3, 8) (-3, -6) and (2, k) 400 Find the value of x so that the line passing through the two points is parallel to the line. (-2, x) and (4, -5) (-2, 3) and (8, -2) 500 Find the value of x so that the line passing through the two points is perpendicular to the line. ( -3, 9) and (-1, 1) (-2, 10) and (k, 4) 100 Write the equation in slope-intercept form. Then, identify the slope and y -intercept. 5 y – 3 x = 12 200 Write the equation in slopeintercept form. Then, identify the slope and y-intercept. -6 x – 4 y = 8 300 A family of squirrels takes up residence in the roof of your house. You call a company to get rid of the squirrels. The company traps the squirrels and then releases them in a wooded area. The company charges C = 30 + 15 s where C is the total cost and s is the number of squirrels. Graph the equation. Identify the domain and range. 400 A family of squirrels takes up residence in the roof of your house. You call a company to get rid of the squirrels. The company traps the squirrels and then releases them in a wooded area. The company charges C = 30 + 15 s where C is the total cost and s is the number of squirrels. What do the slope and y-intercept mean? 500 A new toilet model has two different flush settings in order to conserve water. One setting uses 1. 6 gallons of water per flush and the other setting uses 0. 8 gallons of water per flush. The total amount w (in gallons) of water used in the first setting is given by the equation w = 1. 6 f where f is the number of times the toilet is flushed. The total amount of water used in the second setting is given by the equation w = 0. 8 f. Graph both equation in the same coordinate plane. What do the slopes and the w-intercepts mean in this situation? 100 Is 3 y – 2 x = 6 x an example of direct variation? If it is, why and what is the constant of variation? 200 Is xy + 4 = 0 an example of direct variation? If it is, why and what is the constant of variation? 300 Y varies directly with x. If x is 1/5 when y is -1, what is x when y is 8? 400 Y varies directly with x. If x is 3/4 when y is 2, what is y when x is 9? 500 X varies directly with y. If x is 8 when y is -3, what is x when y is -4? 100 Evaluate the function f(x) = 8. 5 – 10 x when x = -3. 200 Find the value of x so that f(x) = -39. 6 for the function f(x) = 10 x – 8. 1 300 How does the function g(x) = x + 4 differ from the parent function f(x) = x? 400 How does the function g(x) = 4 x differ from the parent function f(x) = x? 500 You join a gym that charges a \$75 initial sign up fee and \$35 a month for a membership. The total cost of the membership can be modeled by f(x) = 35 x +75 where x is the number of months of the membership. After some time, you decide to rent a locker that costs \$50 for the entire year. A function for the total cost of the membership with the locker rental is g(x) = 35 x +125. Graph both functions. How is the graph of g(x) related to the graph of f(x)? 100 Mary is taking an exam consisting of multiple choice and essay problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent the number of essay problems, write an equation to show the relationship between how many multiple choice problems and how many essay problems Mary can complete in 1 hour. 200 Mary is taking an exam consisting of multiple choice and essay problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent the number of essay problems, write an equation to show the relationship between how many multiple choice problems and how many essay problems Mary can complete in 1 hour. What is the x-intercept and what does it mean in this situation? 300 Mary is taking an exam consisting of multiple choice and essay problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent the number of essay problems, write an equation to show the relationship between how many multiple choice problems and how many essay problems Mary can complete in 1 hour. What is the y-intercept and what does it mean in this situation? 400 Mary is taking an exam consisting of multiple choice and essay problems. It takes Mary 1 minute to complete a multiple choice problem and 5 minutes to complete an essay problem. She has 1 hour to complete the test. Using x to represent the number of multiple choice problems and y to represent the number of essay problems, write an equation to show the relationship between how many multiple choice problems and how many essay problems Mary can complete in 1 hour. What is the domain and range? 500 Find the slope of (-2, 3) and (4, -1). Then, find the slope of (-2 in, 3 in) and (4 in, -1 in). What do you notice?