Station 1. Find the slope. = m BC. m AB. = m AC. y = 3 4 x Of the line that passes through ( 3, 1) and ( 1, 5)

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1 Find the slope. Station 1 1. Of the line that passes through ( 3, 1) and ( 1, 5) 2. Of the line that passes through (6, 4) and (10, -4) 3. y = 3 4 x x 8y = x 6y + 3(x 8) = Find the slope of each line segment using the graph: m AB = m BC = m AC = 7. By the end of its first week, a movie had grossed $2.3 million. By the end of its sixth week, it had grossed $6.8 million. Find and interpret the slope of the line. 8. The equation y =0.2x can be used to find the amount of accumulated snow (in inches) in a certain number of hours after 5 P.M. on a certain day. Identify the slope and y-intercept of the graph of the equation and explain what each represents.

2 1. Convert 4y = 2x 5 to standard Station 2 2. Convert 4 5 x = 1 3 y 3 15 to standard 3. Write the equation of the line that passes through (6, 1) with slope of 2. Write your answer in 3 slope-intercept 4. Write the equation of the line that passes through (-2, 5) and (3, -9). Write your answer in point-slope 5. Write the equation of the line that passes through the point (-5, 8) and parallel to the line that passes through the points (-4, 7) and (2, 9). Write your answer in pointslope 6. Write the equation of the line that passes through the point (3, 2) and perpendicular to the line that passes through 4x + 3y = 8. Write your answer in standard 7. In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year for the next five years. Write a linear function that models this situation. 8. Your grandmother made 240 oz. of jelly. You have two types of jars. The first holds 10 oz. And the second holds 12 oz. Write an equation that represents the different number of 10-oz. jars, x, and 12-oz. jars, y, that will hold all of the jelly.

3 Station 3 1. Suppose y varies directly with x and y = 72 when x = 6. a) What direct variation equation relates x and y? b) What is the value of y when x=10? 3. Describe a scenario that represents direct variation. 5. Which of the following graphs do not represent direct variation? a) b) 2. What does it mean for two variables to vary directly? 4. Which of the following equations do not represent direct variation? a) 4c = 8d b) 5x + 3y = 0 c) 3x + 6x y = 0 d) y = x 6. The number of kilometers that a motorbike travels varies directly with the number of liters of gas. A motorbike travels 225 km with 5 liters of gas. a) Write the equation. c) d) b) Find the constant of variation (slope). c) How many liters of gas are needed to travel 135 km?

4 Station 4 Use the scatter plot for this station. It shows the resale value of 6 SUVs plotted against the age of the vehicle. 1. Does the scatter plot show a positive, negative, or no relationship? Would you say that the relationship is strong or weak? Explain what this means in terms of the resale value of a SUV. 2. a) Draw a line of best fit. b) Write the equation of the line of best fit that you sketched. 3. Interpret what the slope means on the context of the problem. Slope: for every additional year, the value of the car decreases by 2.5 thousand dollars. 5. Use your equation to estimate how much the SUV will be worth when it is 4.5 years old. 4. Interpret what the y-intercept means on the context of the problem. At 0 years old, the starting value was 27.5 thousand dollars. 6. Use the graph to estimate how old the SUV is that is worth $15 thousand. Mark the point on the graph with a square. 7. What does the coordinate that you obtained in #6 mean in context? At 5 years old, the car is valued at 15 thousand dollars.

5 Station 5 Graph the equation of the line and find the specified information. 1. y = 3x + 4 m = b = 2. y = 5 m = b = 3. y = 6 5 x 8 m = b = 5. x + 3y = 9 x intercept = y intercept = 4. 5x 8y = 20 x intercept = y intercept = 6. x = 2 m = x intercept = y intercept = 7. 2 y 3 = (x 9) 3 point = m = 8. y 8 = 3x point = m =

6 Station 6 You need to raise $ to attend a debate tournament. The club decides to sell cups of iced tea and lemonade at baseball games. Iced tea will be sold for $3.50 per cup and lemonade will be sold for $2.50 per cup. 1. Define your variables. Label your axes. x: y: 2. Write an equation to find how many cups of each beverage must be sold to raise $ Solve for the x and y intercepts. 4. Graph the equation of the line. Label your axes! 5. What does the x-intercept mean in the context of the problem? Round to the nearest whole number. When you buy 29 cups of iced tea, you can buy 0 cups of lemonade for $ In the given problem, what does the point (15, 19) represent in the context of the problem? When you buy 15 cups of iced tea, you can buy 19 cups of lemonade for $ According to this model, cups of iced tea sold 33 cups of lemonade, how many cups of ice tea were sold to reach your goal? i. Use the equation to solve. ii. Estimate using your graph and the equation. Label the point with a on your graph. 8. What is the domain? What is the range? 9. Use your graph to find three different combinations of cups of iced tea sold and cups of lemonade sold that will raise $