In "The Case of the Stolen Jewelry," equations representing each suspect's location were matched with given scenarios:
1. Ms. Stark: y = -3x + 5
2. Ms. Croft: y = 1/2x + 6
3. Ms. Smaug: y = -2x
4. Ms. Clampett: y = -1/2x - 2
5. Ms. Clampett: y = -1/2x - 2 (matching points)
6. Ms. Stark: y = -x + 11 (matching points)
7. Ms. Burns: y = -2x + 1
8. No match found
9. Ms. Cullen: y = 1/3x - 3
10. Ms. Stark: y = -3x + 5
11. Ms. Stark: y = -x + 11 (matching points)
12. No match found
13. Ms. Stark: y = -x + 11 (matching points)
14. No match found
15. Ms. Howell: y = 2x - 9
16. No match found
17. Ms. Cullen: y = -3x + 2
18. Ms. Clampett: y = 1/2x
19. No match found
20. Ms. Smaug: y = -2x - 2 (matching points)
Potential suspects matching scenarios are Ms. Stark, Ms. Croft, Ms. Smaug, Ms. Clampett, Ms. Cullen, and Ms. Howell. Further investigation is needed to identify the culprit.
In "The Case of the Stolen Jewelry," we aim to identify the culprit by matching given information with equations representing the suspects' whereabouts. Let's analyze each scenario:
1. The equation "y = -3x + 5" corresponds to the pearl necklace location. Ms. Stark's equation is a match.
2. For the emerald ring scenario, "y = 1/2x + 6" fits Ms. Croft's situation.
3. The continuous compounding interest involves the equation "y = -2x". Ms. Smaug is a suspect matching this equation.
4. The diamond bracelet's equation "y = -1/2x - 2" corresponds to Ms. Clampett's location.
5. Checking if points (-4,4) and (5,-14) lie on the same line, we find "y = -1/2x - 2," indicating Ms. Clampett.
6. Points (3,-7) and (9,-5) satisfy "y = -x + 11," revealing Ms. Stark.
7. The equation "y = -2x + 1" corresponds to the scenario of Ms. Burns, whose slope is -2.
8. Points (8,20) and (-1,-7) do not align, eliminating suspects.
9. The equation "y = 1/3x - 3" matches Ms. Cullen's location for (-3,0).
10. The point (-6,0) satisfies "y = -3x + 5," indicating Ms. Stark.
11. Points (-2,4) and (0,-2) satisfy "y = -x + 11," revealing Ms. Stark.
12. The equation "y = -x + 11" aligns with the given point (-5,11), excluding suspects.
13. Points (7,4) and (7,-2) align with "y = -x + 11," revealing Ms. Stark.
14. Points (-2,8) and (0,7) do not align, eliminating suspects.
15. The equation "y = 2x - 9" corresponds to the location under a mattress, suggesting Ms. Howell.
16. The point (-3,-1) does not align with "y = 2x - 9," eliminating suspects.
17. Points (-1,-5) and (-3,-3) align with "y = -3x + 2," indicating Ms. Cullen.
18. The equation "y = 1/2x" corresponds to Ms. Clampett's location.
19. Points (9,27) and (-4,-12) do not align, excluding suspects.
20. Points (4,-2) and (-2,-2) align with "y = -2x - 2," indicating Ms. Smaug.
In summary, potential suspects matching the given scenarios are Ms. Stark, Ms. Croft, Ms. Smaug, Ms. Clampett, and Ms. Cullen. Further investigation is needed to identify the culprit.