...A. 1. A. 2. Savings Plan A y= $20x + $400 10x+600=20x+400 -10x-400=-10x -400 200=10x /10 /10 20=x (# 0f months) Savings PlanB y= $10x + $600 y=10(20)+600 y=200+600 y=800 ($ saved) Savings Plan A X-intercept y=0 0=20x+400 -400=20x -400/20=x -20=X Savings PlanB X-intercept y=0 0=10x+600 -600=10x -600/10=x -60=x Solution A. 3. Both plans yield identical balances after 20 months at $800. Months Plan B Plan A -60 0 -20 0 0 600 0 400 2 620 2 440 Solution 3 630 3 460 1000 4 640 4 480 (20,800) y-intercept Quadrant II 5 650 5 500 800 (0,600) 6 660 6 520 600 Quadrant I 7 670 7 540 400 8 680 8 560 x-intercept (0,400) y-intercept x-intercept 200 9 690 9 580 (-60,0) (-20,0) 10 700 10 600 0 -70 -60 -50 -40 -30 -20 -10 0 10 20 30 11 710 11 620 X-Axis Months 12 720 12 640 13 730 13 660 Plan B y=10x+600 Plan A y=20x+400 14 740 14 680 Linear (Plan B y=10x+600) Linear (Plan A y=20x+400) 15 750 15 700 16 760 16 720 17 770 17 740 A.3a1. Plan B yields more at $740 vs. Plan A at $680. 18 780 18 760 A.3ac. Plan A yields more at $860 vs Plan B at $830. 19 790 19 780 A.4. The solution lies in quadrant 1 where the savings 20 800 20 800 begins until the intersection at (20,800). 21 810 21 820 x & y coordinates are all positive from month 1 through month 20 22 820 22 840 which means its Quadrant 1. 23 830 23 860 Y-Axis (Total Savings in $)...
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...Running Head: QLT1 Task 1 Rev 1 QLT1 Task 1 Rev 1 QLT1 Task 1 Mary is going away to college. In order to stay in touch with her family and friends she needs to get a cell phone with a calling plan. At this time Mary isn’t sure what her monthly phone usage is going to be. After consulting with her college friends, she estimates her usage will be between 200 and 900 minutes per month. A local phone company offers two basic calling plans: Plan A. offers a package consisting of monthly charge of $50.00 and $0.10 for each minute. Plan B. offer is a monthly fee of $15.00 and $0.18 per minute. The phone company charges for actual time used for both plans, so if Mary used .75 Min for talk time she would pay for actual time used [(.75) x per minute rate] Plan A The cost of plan (Y) X= phone usage in minutes (this is our variable) Y=50 + 0.10(x). The cost of plan A (Y) is $50 base charge plus $.10 per each minute (x) represented in a linear equation. Plan B X= phone usage in minutes (this is our variable) Y=15 + .18(x). The cost of plan B (Y) is $15 base charge plus $.18 per each minute (x) represented in a linear equation. 1. Which plan would offer greater savings if Mary’s monthly phone usage was 200 min? Plan A Cost of phone plan after using 200 minutes. Y=50 + .10(x) X 200 Y=50 + .10(200) Y=50 + 20 Y=70 Plan A would cost Mary $70 per month after 200 minutes usage Plan B Cost of phone plan after using 200 minutes Y=15...
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...Quantitative Literacy Numeracy, Algebra, & Geometry - All 5 Tasks http://www.homeworkminutes.com/question/view/41069/QLT1-WGU-Quantitative-Literacy-ALL-5-TASKS This tutorial contains all of the required attachments for the entire QLT1 Quantitative Literacy course at WGU. All of the attachments passed the Taskstream evaluations. Task 1 Solving Algebraic Equations: The attachment contains the graphs for parts A1 (graphing values on a number line), A2 (graphing points on a single coordinate plane), and A3 (graphing functions on spearate coordinate planes). There are six graphs total. Task 2 Solving Algebraic Equations: The attachment pertains to a man shining a laser beam from a third-story window and contains the calculation for part A1, the graph for part A2, the identification of points for part A3, the height for part A4, the explanation for part A4a, the determination for part A5, and the explanation for part A5a. Task 3 Solving Algebraic Equations: The attachment pertains to a person saving money according to a rigid savings schedule and contains the equations for part A1, the solutions to the equations for part A2, the graph for part A3, the determination for part A3a, and the explanation for part A4. Task 4 Constructing Arguments and Reasoning: The attachment contains the logical progression of steps to develop a reasonable and complete geometric proof of isosceles Triangle ABC. Task 5 Solving Algebraic Equations, Applying Probability and Statistics...
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...QLT1 Task 5 Daycare Cost Analysis A.) Basic information: The Depp family is seeking child care for their 2 year old son Jack. The family needs care for approximately 42-50 hours per week. They have interviewed several care providers and have selected two providers in the vicinity of their employers and now need to decide between: one is family day care home that charges $5 per hour per child and the other is a child care center that charges $200 per week for 40 hours with an additional $10 per hour over 40 hours. Additional factors considered are that both facilities provide lunch and snacks, other facilities did not; as well the center will provide a 25% discount on a second child. Although the Depps have only one child however will be adding to their young family. 1.) Rates: i. Daycare rates: Home care $5/hour ii. Center $200/week for 40 hours + $10/hour over 40 hours 2.) Other expenses iii. Meals included with both facilities iv. Both located within 10 blocks of employer, transportation costs are negligible 3.) Other considerations v. Parents are state employees 37.5 hours per week + 1 hour lunch = 42.5 hours @ employer per week minimum vi. Currently have one child in need of care, but is considering another child in the next 1-2 years vii. Family day care home is 1 employee, no coverage for sick days/vacation; center has multiple staff members to cover...
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...Mike Henkle QLT1 Task 5 Western Governors University A. Create a story problem using one of the above real-world scenarios as a basis, including realistic numeric values, by doing the following: 1. Describe the real-world problem. I was looking into phone plans and stumbled upon T-Mobile, and I decided that I needed a cell-phone and took a look at the plans. T-mobile had one plan that was 50 dollars a month and is unlimited talk, text and web, T-Mobile also has a plan for 30 dollars a month for 1,500 talk and text minutes. After you go through your allotted 1,500 talk and text time was up, the cost skyrockets up to 10 cents a minute. 10 cents a minute comes out to 6.00 per hour, I thought in my head. I decided that instead of jumping into a decision about phone plans, that I should first go home and do the math. I wanted to figure out which plan was going to be the most cost effective, and which plan would suite my needs the best. 2. Explain all needs (e.g., financial, non-financial, situational) of the hypothetical consumer. The needs include many different factors: • The first and most important factor how much do you use your phone? The breaking point on the problem today is 200 talk or text above the 1500 minute plan and I will be paying less up front but more on the back end which is no good. If I chose the 1500 minute plan, I will not want to be going over the 1500 minutes as then the cost would go up to 10 cents...
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...QLT1 Task 5 A. Create a story problem using one of the above real-world scenarios as a basis, including realistic numeric values, by doing the following: 1. Describe the real-world problem. I was looking into phone plans and stumbled upon T-Mobile, and I decided that I needed a cell-phone and took a look at the plans. T-mobile had one plan that was 50 dollars a month and is unlimited talk, text and web, T-Mobile also has a plan for 30 dollars a month for 1,500 talk and text minutes. After you go through your allotted 1,500 talk and text time was up, the cost skyrockets up to 10 cents a minute. 10 cents a minute comes out to 6.00 per hour, I thought in my head. I decided that instead of jumping into a decision about phone plans, that I should first go home and do the math. I wanted to figure out which plan was going to be the most cost effective, and which plan would suite my needs the best. 2. Explain all needs (e.g., financial, non-financial, situational) of the hypothetical consumer. The needs include many different factors: • The first and most important factor how much do you use your phone? The breaking point on the problem today is 200 talk or text above the 1500 minute plan and I will be paying less up front but more on the back end which is no good. If I chose the 1500 minute plan, I will not want to be going over the 1500 minutes as then the cost would go up to 10 cents a minute or 6.00 per hour. • Is this replacing a work or office phone? If...
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