# Degrees at point b degrees at point a 90 degrees 50

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= Degrees at point B – Degrees at point A = 90 degrees – 50 degrees/12 hours of sunlight – 8 hours of sunlight / Hours of sunlingt at point B – Hours of sunlight at point A = 40 dgrees/ 4 hours of sunlight = 10 degrees per hour of sunlight Similarly, point C has coordinates (8 hours of sunlight, 30 degrees), and point D has coordinates (12 hours of sunlight, 60 degrees). Therefore, the slope between points C and D is:
Slope between C and D = Rise/Run = Degrees at point D-Degrees at point C = 60 degrees-30 degrees/12 hours of sunlight- 8 hours of sunlight = 30 degrees/4 hours of sunlight = 7.5 degrees per hour of sunlight The mathematical slope of the steeper line is Error! Filename not specified. less than the slope of the less-steep line. Points: 0 / 1 Close Explanation Explanation: You found above that the slope of the orange line is 10 degrees per hour of sunlight, and the slope of the blue line is 7.5 degrees per hour of sunlight. Since the orange line is steeper, this means that the slope of the steeper line is greater than the slope of the less-steep line. You can see why this is the case by looking at the definition of slope. A line’s slope is equal to its “rise over run”—that is, the rate at which it rises over a given range. In this example, over the “run” from 8 hours of sunlight to 12 hours of sunlight, the orange line has a “rise” of 40 degrees (from 50 degrees to 90 degrees), and the blue line has a “rise” of 30 degrees (from 30 degrees to 60 degrees). In other words, the steeper line has a greater rise over a given run (that is, an additional hour of sunlight means a larger increase in temperature), and therefore, it has a higher slope. Your AnswerSlope of TR060120180240300360420480250200150100500-50-100-150-200- 250REVENUE (Dollars per refrigerator)QUANTITY (Refrigerators per year)300, -100Y-Intercept: 100Slope: 0 Correct Answer Points: 1 / 1 Close Explanation Explanation: At point B, the blue curve is tangent to a black line that passes through the points (60, 24) and (180, 48). Therefore, because the vertical values represent thousands of dollars, the slope of that line is:
(Note that there is a “per year” in the numerator and in the denominator, so those cancel.) Similarly, at point D, the blue curve is tangent to a black line that passes through the points (300, 48) and (420, 24). Therefore, the slope of that line is: Since the slope of the total revenue curve is 200 per refrigerator when 120 refrigerators are sold, and -200 per refrigerator when 360 refrigerators are sold, you should have plotted the points (120, 200) and (360, -200). Jack Hardware sold 6 pounds of bolts yesterday at a price of \$3.00 per pound. This point is represented by the black plus symbol on the diagram below, which plots the price of bolts (measured in dollars per pound) and the quantity sold (measured in pounds). The blue line on the following graph shows a firm’s daily costs for the first 90 days of the fiscal year. Because the firm is expanding, its costs are constantly rising. 0102030405060708090100109876543210EXPENSES (Thousands of dollars per day)TIME (Days) The area of the shaded quadrilateral is Error! Filename not specified. \$200,000 . Points: 1 / 1 Close Explanation Explanation: To answer this question, we can split the gray quadrilateral into two shapes, a triangle and a rectangle, as shown by the following diagram: