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Algebra 1 Section 4 (Topics 1-4 Linear Functions) ReviewDetermine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.–1, –4, –7, –10, –13, … Find the 20th term in the arithmetic sequence –2, 2, 6, 10, 14, … Mr. Sanford is going on vacation. He has already driven 20 miles in one hour. His average speed for the rest of the trip is 45 miles per hour. How far will Sylvie have driven 6 hours later?Find the x- and y-intercepts of -2x+4y=12.Find the x- and y- intercepts.22669510985500A clothing manufacturer needs 3.8 yards of fabric to make a jacket and 1.9 yards of fabric to make a matching skirt. The number of jackets, x, and coats, y, that can be made from a 57-yard bolt of fabric can be represented by the equation3.8x + 1.9y = 57. Find the intercepts and graph the function. What does each intercept represent?Find the slope of the line.Find the slope of the line that contains the points (-2, 4) and (6, 0). Find the slope of the line described by the equation -2x-8y=-1.Write an equation in slope intercept form that has a slope of 2 and crosses through the point (-5, 10).Graph the equation y=-23x+4.The water level of a river is 28 feet and it is receding at a rate of 1.5 feet per day. Write an equation that represents the water level, w, after d days. Identify the slope and y-intercept. In how many days will the water level be 13 feet?Ethan is saving money in his piggy bank for his upcoming trip to Disney World. On the first day, he put in $12 and plans to add seven more dollars each day.Part A: Write an explicit formula that can be used to find the amount of money saved on any given day.Part B: How much money will he have on the 18th day?Mr. Sanford is thinking of hiring a generator during to assist with a project. He creates a graph to show how much money it will cost at certain times. Find the slope of the line. Then tell what the slope represents.Steven bags groceries at Publix. On average, he fills 17 bags for every three customers.Part A: Draw a graph to represent the total bags John filled based on the number of customers.Part B: What does the average rate of change represent?Part C: What is Steven’s average rate of change? Jimmy-Joe-Bob’s car broke down on Interstate 10. Billy-Boy’s Towing charges a $52 hook up fee and $3.00 per mile towed. Sally-May’s Towing charges a $40 hook up fee and $3.25 per mile towed. Which of the following statements are true? Select all that apply.Both situations can be modeled using linear functions.The y-intercept of the function that models Billy-Bob’s Towing charges is 52. The rate of change of the function that models Sally-May’s Towing charge is 40.The y-intercept of the functions that model both situations represent the hook up fee.The rate of change of the functions that model both situations represent the miles traveled per hour.Consider the following equations:6x-3y=-186x+2y=12Part A: Which of the following statements is true?The slope of both lines are the same and the y-intercepts are different.The slope of both line are different and the y-intercept are the same.The slope and the y-intercepts are the same.The slope and the y-intercepts are different.Part B: Graph the two equations on the same graph. ................
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