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Erin borrowed $900 from her parents. She will pay them back $150 each month. Write an equation for the amount A she still owes them to the number of payments.

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Presentation on theme: "Erin borrowed $900 from her parents. She will pay them back $150 each month. Write an equation for the amount A she still owes them to the number of payments."— Presentation transcript:

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2 Erin borrowed $900 from her parents. She will pay them back $150 each month. Write an equation for the amount A she still owes them to the number of payments m. How much will she owe them after five payments? A = 900 – 150m or A = -150m + 900 Erin will still owe her parents $150.

3 Given the equation 6x + 5y = 30: a)Write this equation in slope-intercept form. b)What is the slope? c)What is the y-int? d)What is the x-int? e)Graph the equation.

4 3/7/2016 Give an equation in Standard Form for the line that passes through the points (3, 5) and (6, – 1) Slope = – 2 Pick one of the given points. Let’s pick (3, 5) Point-Slope Form → Substitute your given values → Distribute → Solve for y → Put into Standard Form →

5 Give an equation in Standard Form for the line parallel to y = -4x – 2 that contains (-1,5). Slope = m = -4. Passes through the point (-1, 5). Point-Slope Form → Substitute your given values → Distribute → Solve for y → Put into Standard Form →

6 3/7/2016 Last week, Mr. Baxter sold $20,000 worth of newspaper advertisements and earned $800. The week before, he sold $26,000 worth of advertisements and earned $860. Assume the relationship between Mr. Baxter’s weekly earnings and the value of the advertisements he sells is linear. a)Write the data above as two ordered pairs in the form (s, e). b) Find the slope of the line given these ordered pairs. c) Write an equation for the line in slope-intercept form given the data. (20,000, 800) and (26,000, 860) Slope =.01 Continued→ Example

7 Example3/7/2016 Last week, Mr. Baxter sold $20,000 worth of newspaper advertisements and earned $800. The week before, he sold $26,000 worth of advertisements and earned $860. Assume the relationship between Mr. Baxter’s weekly earnings and the value of the advertisements he sells is linear. Ordered Pairs (20,000, 800) and (26,000, 860) Slope =.01 c) Write an equation for the line in slope-intercept form given the data. Slope =.01 and (20,000, 800)

8 Give an equation for a line with an undefined slope? Give an equation for a line with a zero slope? Draw an example of a line where: Ax + By = C where

9 Is the following sequence an arithmetic sequence: – 7, -10, -13, -16, …? Write a recursive formula for this sequence. Write an explicit formula for this sequence. Yes, this is an arithmetic sequence with a constant difference of – 3.

10 Does the formula generate an arithmetic sequence? Does the formula generate an arithmetic sequence? Does the formula generate an arithmetic sequence? Yes, this is an arithmetic sequence with a constant difference of -9. No, this is not an arithmetic sequence. Yes, this is an arithmetic sequence with a constant difference of 1.

11 The Transportation Department studied the length of time traffic was halted as a freight train traveled across a road. The data in the table below relate the speed s of a 100-car train to time T. a)Find an equation of the regression line. (Round to the nearest thousandths.) b) Use your equation to predict the time that traffic will be halted if the train is traveling 35 mph. c) What is the correlation coefficient?(Round to the nearest thousandths.) d)What does the correlation coefficient mean? T = –.17s +12.6 –.17(35) + 12.6 = 6.65 Traffic will be halted for about 7 minutes. r =.969 This situation has a strong linear relationship, since I –.969 I (absolute value) =.969 and it is close to 1. s (mph)2030405060 T (min)107543

12  Study for your Chapter 3 Test that is on Friday, December 11 th !!!!


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