Study Guide 1 F_13

Study Guide 1 F_13 - Math 116 Fall 2013 Study Guide Part 1...

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Math 116 Fall 2013 Study Guide - Part 1 1. Find the slope of a line that goes through the points (1 , 5) and ( 3 , 13). The slope is (A) Less than -1 (B) Between -1 and 1 (C) Between 1 and 3 (D) More than 3 (E) Undefined 2. Estimate the slope of the line given below. The slope is (A) Less than -1 (B) Between -1 and 1 (C) Between 1 and 3 (D) More than 3 (E) Undefined
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3. Determine the equation of the line that goes through the point ( 5 , 7) with slope -3. 4. Determine the equation of the line that goes through the points ( 2 , 3 / 4) and (2 / 3 , 5 / 2).
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5. Determine the equation of the line given below. 6. Determine the equation of the line given below. (A) y = x 9 (B) y = 9 x 9 (C) y = x 1 (D) y = 9 x 1 (E) None of these
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7. Graph the line 3 y 7 x = 21 below. 8. Graph the line y = 4 below.
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9. World grain production was 1241 million tons in 1975 and 2048 million tons in 2005, and has been increasing at an approximately constant rate. Answer parts (i) through (iii) . (i) Determine a linear equation that approximates world grain production, P , in millions tons, in terms of t , the number of years since 1975. (ii) Using units, interpret the slope in terms of grain production. (iii) According to the linear model, when is grain production predicted to reach 2500 million tons?
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10. Let g ( x ) = 3 x + 6. Find g ( 2). g ( 2) is 11. Write a linear cost function for the following situation. A ski resort charges a snowboard rental fee of $20 plus $9.25 per hour. 12. The Dispatch Tool Works spends $9000 to produce 130 parts, achieving a marginal cost of $60. Find the linear cost function.
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13. The manager of a restaurant found that the cost to produce 300 cups of co ff ee is $28.95, while the cost to produce 600 cups is $56.55. Assume the cost C ( x ) is a linear function of x , the number of cups produced. Answer parts (i) through (iii) . (i) Find the total cost of producing 1100 cups. The total cost is (A) less than $90 (B) between $90 and $100 (C) between $100 and $110 (D) between $110 and $120 (E) more than $120 (ii) Find the marginal cost of a cup of co ff ee. The marginal cost is (A) less than $0.10 (B) between $0.10 and $0.20 (C) between $0.20 and $0.30 (D) between $0.30 and $0.40 (E) more than $0.40
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