Calculate the slope of each linear relationship using the formula. Show all your work. Number of Carnival...

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1. Calculate the slope of each linear relationship using the formula. Show all your work.
Number of Carnival Ride Tickets | Cost (dollars)
4 | 9
8 | 12
16 | 18
32 | 30
x | y
-1 | -13
0 | -2
2 | 10
5 | 28
2. Days Passed | Vitamins Remaining in Bottle
0 | 25
1 | 23
2 | 21
3 | 19
4. 7 | 10 | 19 | 40
1 | 2 | 3 | 4

SnapAndSolve AI · Accepted Answer

Number of Carnival Ride Tickets vs. Cost:Using the formula for slope, m = (y2 - y1) / (x2 - x1):Between (4, 9) and (8, 12): m = (12 - 9) / (8 - 4) = 3/4Between (8, 12) and (16, 18): m = (18 - 12) / (16 - 8) = 6/8 = 3/4Between (16, 18) and (32, 30): m = (30 - 18) / (32 - 16) = 12/16 = 3/4The slope is consistent at 3/4. x vs. y:Between (-1, -13) and (0, -2): m = (-2 + 13) / (0 + 1) = 11Between (0, -2) and (2, 10): m = (10 + 2) / (2 - 0) = 12/2 = 6Between (2, 10) and (5, 28): m = (28 - 10) / (5 - 2) = 18/3 = 6The slope is consistent at 6. Days Passed vs. Vitamins Remaining:Using the formula for slope, m = (y2 - y1) / (x2 - x1):Between (0, 25) and (1, 23): m = (23 - 25) / (1 - 0) = -2Between (1, 23) and (2, 21): m = (21 - 23) / (2 - 1) = -2Between (2, 21) and (3, 19): m = (19 - 21) / (3 - 2) = -2The slope is consistent at -2. 4. Sequence:Calculate the differences between consecutive terms in each row:First row: 7, 10, 19, 40Differences: 10 - 7 = 3, 19 - 10 = 9, 40 - 19 = 21Second row: 1, 2, 3, 4Differences: 2 - 1 = 1, 3 - 2 = 1, 4 - 3 = 1The differences in the first row are not consistent, indicating a non-linear relationship.

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Calculate the slope of each linear relationship using the formula. Show all your work. Number of Carnival...

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