Are the variables Y and X inversely related or directly related? What is the value of Y if b=10, M=.50, and X=200? What is the value of X if Y=100, b=10, and M-.25?
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- The following graph contains four lines (A, B, C and D), each of which has a slope that is either positive, negative, zero, or infinite. Y-axisX-axisBDCA For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Scenario Relationship Line As the temperature rises, the demand for ice-cream rises. Negative As the temperature rises, the demand for hot cocoa falls. Positive As the temperature falls, the demand for popsicles falls. Negative True or False: Line B has a slope of infinity.…Graph Input Tool Market for Research Assistants 20 18 I Wage (Dollars per hour) 4 16 Labor Supplied (Number of workers) Supply Labor Demanded 500 14 (Number of workers) 12 Demand Shifter Supply Shifter 10 8 Demand Tax Levied on Employers (Dollars per hour) Tax Levied on Workers (Dollars per hour) 6. 4 40 80 120 160 200 240 280 320 360 400 LABOR (Number of workers) For each of the proposals, use the previous graph to determine the new number of research assistants hired. Then compute the after-tax amount paid by employers (that is, the wage paid to workers plus any taxes collected from the employers) and the after-tax amount earned by research assistants (that is, the wage received by workers minus any taxes collected from the workers). WAGE (Dollars per hour) +.--The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? O A. 40- 20+ 2000 5000 2855 3050 3810 3985 4250 2275 3525 33 32 27 24 22 39 28 Weight (lb) Q Q O B. 40 20+ 2000 AHH 5000 Weight (lb) Q Q Is there a linear relationship between weight and highway mileage? O A. No, there appears to be a relationship, but it is not linear. O B. Yes, as the weight increases the highway mileage decreases. O C. Yes, as the weight increases the highway mileage increases. OD. No there appears to be no relationshin C O C. Q 40- M Q 20++ 2000 5000 Weight (lb) Highway ( O D. Highway (mpg) 40- 20+ 2000 5000 Weight (lb) Q
- PRICE (Dollars per room) 500 450 400 350 300 250 200 150 100 50 0 Demand D 50 100 150 200 250 300 350 400 450 500 QUANTITY (Hotel rooms) Graph Input Tool Market for Oceans's Hotel Rooms Price (Dollars per room) Quantity Demanded (Hotel rooms per night) Demand Factors Average Income (Thousands of dollars) Airfare from MSY to ACY (Dollars per roundtrip) Room Rate at Meadows (Dollars per night) 350 150 50 200 250 ? For each of the following scenarios, begin by assuming that all demand factors are set to their original values and Oceans is charging $350 per room per night. If average household income increases by 20%, from $50,000 to $60,000 per year, the quantity of rooms demanded at the Oceans from rooms per night to rooms per night. Therefore, the income elasticity of demand is. , meaning that hotel rooms at the Oceans are If the price of an airline ticket from MSY to ACY were to increase by 10%, from $200 to $220 roundtrip, while all other demand factors remain at their initial values,…Y Score on Economics Final Exam 100 75 50 25 A 0 5 10 Hours of Study How would you describe the relationship shown in the graph? A Linear Direct Relationship B A Linear Inverse Relationship A Linear Independant Relationship C A Nonlinear Infinite Relationship D 15 20 X5
- 3) A tax on gasoline is proposed in order to raise money for the pollution-control activities of several public agencies. The tax will be 10¢ per gallon, and last year 10.3 million gallons of gasoline were used by motorists (this is strictly an illustrative number). Does this mean that we can anticipate S1,030,000 in revenues from this tax? Explain and use a graph to answer this question.According to the following given information how to determine: Production Times (months) 1 9 10 11 12 13 14 15 product of 970 1,180 1,239 1,293 1,350 1,398 1,410 1,480 1,492 1,500 1,520 1,592 1,605 1,660 1,685 (Z unit) A) Break Even-point or points? B) How is to construct the relationship between entire variables through the simple drawing for all above figures and highlighting of Break Even point the drawing? C) Justify your final answer for each line of production.Refresh your Math & Graphing Skills SOP-A D For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. X-axis Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled The average grade received" and Y-axis should be labeled "The number of hours spent studying". Scenario As the number of hours spent studying rises, the average grade received rises. As the number of hours spent studying falis, the likelihood of getting an A falls. As the number of hours spent watching TV rises, the average grade received falls. True True or False: Line B has a slope of infinity. O False www Relationship Line Y
- Demand Factor Average American household income Roundtrip airfare from Des Moines (DSM) to Atlantic City (ACY) Room rate at the Continental Hotel and Casino, which is near the Rivers PRICE (Dollars per room) Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. 500 450 400 350 300 250 200 150 100 50 0 0 Demand 50 100 150 200 250 300 350 400 450 500 QUANTITY (Hotel rooms) Graph Input Tool Market for Rivers's Hotel Rooms Price (Dollars per room) Quantity Demanded (Hotel rooms per night) Demand Factors Average Income (Thousands of dollars) Initial Value $50,000 per year $200 per roundtrip $250 per night Airfare from DSM to ACY (Dollars per roundtrip) Room Rate at Continental (Dollars per night) 350 150 50 200 250 ?100 80 60 Exam score (points) 40 20 0 2 4 6 8 Study time (hours) 10 QUESTION 1: (i) (ii) (iii) Summarize the data in equation form. Construct a table from the data shown on the graph above. Which is the dependent variable and which is the independent variable2
