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Lesson #10 Linear Model - Slopes and Intercepts 6. The cost for a local move is given by Y = 60x + 100 Where x is the number of hours and Y is the cost is in dollars. a. How much would be charged for a move that required 3 hours? y= 60 ( 3) + 100 4= 280 b. How many hours were spent on a move that cost $400? 4= 60 ( 5) +100 5 hours =$400 c. What is the slope of the line and what does it mean in the context of this problem? d. Determine the y-intercept and interpret its meaning in the context of the problem. 7. . The monthly cost for a cell phone is $19.95 plus $0.10 per minute for all calls after the 500-minute minimum has been met. a. Write the linear equation compute the cost, y, of using the phone for x, minutes after the minimum use has been met. b. Determine the slope of the line the line. State the meaning of the slope in the context of the problem using appropriate units. c. Identify the y-intercept. State the meaning of the y-intercept in the context of the problem using appropriate units. d. Use the equation to determine the cost of using 150 extra minutes.Lesson #10 Linear Model - Slopes and Intercepts 8. A stack of posters to advertise a school play costs $19.95 plus $1.50 per poster at the printer. a. Write a linear equation to compute the cost, c, of buying x posters. b. Use the equation to compute the cost of 125 posters. c. How many posters can be made if $500 is in the budget? 9. Soft drink sales at a concession stand at a stadium increased linearly over the course of the season. The first week there was 65 drinks sold and by the seventh week, there were 155 drinks sold. (1, 65 ) (7, 155) a. Use the given data to find the slope of the linear equation thatB = 5 ( 0, 5 ) 4. Using the information from #1-2, find the linear equation relating the consumption of wind energy, Y to the number of years, X since 2000. 5. If this linear trend continues, use the equation to predict the consumption of wind energy in the year 2015.Lesson #10 Linear Model - Slopes and Intercepts stiv 1. Data for wind energy consumption is given by the y variable representing the amount of wind energy in trillions of BTU and the variable x lass. represents the number of years since 2000. a. Use the points (0, 57) and (4, 143) to determine the slope of the line. m = 12 - 41 - 143- 57 86 43 how * 2 - X 1 4 - 0 4: 2 - 21.5 oke b. Interpret the slope in the context of the problem and write a sentence using appropriate units. Each year, wind energy consumption Increases by 21.5 trillion BTU'S. X- and Y-Intercepts X-intercept Y-intercept Crosses X axis crosses y axis y = 0 X = 0 ( x10) ( 0 , 4 ) ( # , 0) ( 0 , # ) 2. Using the information from #1, state the y-intercept. Interpret the y- intercept in the context of the problem and write a sentence using appropriate units. (0,57) In the year 2000, wind energy consumption Was 57 trillion BTU. STOP. The rest of the lesson will be completed when the class meets