Concept explainers
In Problems 17-24, (a) plot the given points, (b) determine what type of function best models the data, and (c) find the equation that is the best fit for the data.
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MATHEMATICAL APPLICATIONS FOR THE MGT
- The data in MEAPSINGLE were used to estimate the following equations relating school-level performance on a fourth-grade math test to socioeconomic characteristics of students attending school. The variable free,arrow_forwardPart 3 of 5 (c) Use the data points (4, 1.4) and (28, 2.6) to find an equation of the line through these points. Express numbers as decimals or integers. Write the answer in slope-intercept form (y=mx+b). The equation is 0=0 Ś Xarrow_forward2. Suppose two groups in Grande Prairie sponsor river tours that include sightseeing and lunch. Group 1 charges a fixed fee of $120 plus $5 per hour, and Group 2 charges a fixed fee of $100 plus $8 per hour. a. Write equations for the average cost per hour for each boat ride as a function of the rental time, in hours. Group 1 Group 2arrow_forward
- IlMustration 12.15. The sales of a company in thousands of Rs for the year 1965 through 1971 are given below: Year 1965 1966 1967 1968 1969 1970 1971 Sales 32 47 65 92 132 190 275 Estimate the sales figure for the year 1972 using an equation of the form. Y=ab* where x year and Y=sales.arrow_forwardProblem 5- Raccoons, Purple Martins, and Mosquitos: The recent opening of a landfill in the area has caused the raccoon population to flourish, with an adverse effect on the number of purple martins (a type of bird). Wildlife specialists believe the population of purple martins p will decrease as the population of raccoons, r, grows. The relationship between these two populations is represented by the equation below: p(r) = 750 3.75r Mosquitoes are the primary diet of purple martins. Thus, the mosquito population m is a function of the population of purple martins p and is represented by this equation: m(p) 50,000- 45p 1 If there were no raccoons in the area before the land fill opened, then how many mosquitos are in the area at that time? a. b. If there were 200 raccoons in the area six months after the landfill opened, then how many mosquitos are in the area at that time? If there were r raccoons in the area one year after the land fill opened, then how many mosquitos are in the area…arrow_forward5. The table below shows the height, in feet, of a rock thrown from the top of a building each second after it was thrown. Which model would fit this data best: linear, quadratic, or cubic? Use the model to write a best-fit equation, then estimate the height of the rock at 5 seconds. Time Height 0 250 1 280 2 284 249 202 3 4arrow_forward
- Question 9 .arrow_forward4) State whether a quadratic model or a linear model would be the better fit for this data. Determine the equation of best fit, rounding all coefficients to 2 decimal places, and use that equation to predict the y-value that goes with x-8. 21,5 14 13 8. 3. 4 6. 7 Y -48 -5 9 22 29 37arrow_forward.2 y = 4 - x² and x +y = 2.arrow_forward
- 2. The table shows the population of waterfowl at a particular lake for selected years between 2002 and 2023. Which of the following equations shown best models the data in the table, where y is the percent of households with computers and x is the number of years after 2000? x 2002 2004 2011 2015 2018 2021 2023 y 585 582 629 726 873 1070 1317 A. y = 2.75x² + 36.9x + 669 B. y = 2.75 + 11041x + 669 C. y = 2.75x²11041x + 669 D. y = 2.75x² - 36.9x + 669arrow_forwardIn order to prepare for the holiday rush, Timber Tree Farm hires an analyst from Tham International, to help them maximize their revenue. The analyst found that the farm sells 1545 trees on average, at a cost of $150.00 per tree. They also discovered that for every $50.00 price reduction, the farm’s tree sales double. (Round to the nearest tree for “b”) (a) Help them create an equation to model this data. (b) Solve for the amount of trees the farm must sell, in order to maximize their revenue. (c) At which price should the trees be sold at, in order to reach maximum revenue?arrow_forwardQuestion #10: What is the y-intercept of the linear equation represented by the table? * 150 1047 125 872 100 697 75 522 -3 3 O 172arrow_forward
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