Concept explainers
Finding Points on a Line In Exercises 15–18, use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.)
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Calculus (MindTap Course List)
- 9. x-intercept (4, 0), y-intercept (0, -3)arrow_forwardU.S. Population The number of White non-Hispanicindividuals in the U.S. civilian non-institutional population 16 years and older was 153.1 million in 2000and is projected to be 169.4 million in 2050.(Source: U.S. Census Bureau)a. Find the average annual rate of change in population during the period 2000–2050, with the appropriate units.b. Use the slope from part (a) and the population in2000 to write the equation of the line associatedwith 2000 and 2050.c. What does this model project the population to bein 2020?arrow_forwardSlope Exercises 5–18: If possible, find the slope of the line passing through each pair of points. 6. (-8, 5), (–3, –7)arrow_forward
- In Exercises 61–64, find an equation for the level surface of the function through the given point.arrow_forwardThe figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. Use the information in the figure to solve Exercises 67–72. 35,000 30,000 C(x) = 10,000 + 30x 25,000 20,000 15,000 R(x) = 50x 10,000 5000 100 200 300 400 500 600 700 Radios Produced and Sold 67. How many radios must be produced and sold for the company to break even? 68. More than how many radios must be produced and sold for the company to have a profit? 69. Use the formulas shown in the voice balloons to find R(200) – C(200). Describe what this means for the company. 70. Use the formulas shown in the voice balloons to find R(300) – C(300). Describe what this means for the company. 71. a. Use the formulas shown in the voice balloons to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 10,000 radios are produced and sold. 72. a. Use the formulas shown in the voice balloons to write the company's profit function,…arrow_forwardpoints A (2; 1), B (3; 3) and C (a + 1; a) lie on the line (d). Find the value of a.arrow_forward
- ssessment Standard 5.2 - Understanding & Cal. a) Calculate the slope of the line from the two points below. (-6,-40) and (4,5) m = b) Calculate the slope of the line from the two points below. (0,51) and (2,-73) m =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_forwardUse this information to solve Exercises 9–11:A company is planning to produce and sell a new line of computers. The fixed cost will be $360,000 and it will cost $850 to produce each computer. Each computer will be sold for $1150. 9. Write the cost function, C, of producing x computers. 10. Write the revenue function, R, from the sale of x computers. 11. Determine the break-even point. Describe what this means.arrow_forward
- Insurance Rates The following table gives themonthly insurance rates for a $100,000 life insurancepolicy for smokers 35–50 years of age.a. Create a scatter plot for the data.b. Does it appear that a quadratic function can beused to model the data? If so, find the best-fittingquadratic model.c. Find the power model that is the best fit for the data.d. Compare the two models by graphing each modelon the same axes with the data points. Whichmodel appears to be the better fit?arrow_forward曲 Plot the following six points: (- 2, 2) (1, 5) (- 5, - 1) (1,0) (4, - 4) (0, – 3) 4 2. 2. -1 -1 -4 -3 -2 -3 -4 3. inarrow_forwardWrite an equation in point-slope form for the line passing through the points (4, -3) and (-2, 6). (See Figure 1.44.) Then solve the equation for y.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage