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forsale [732]
4 years ago
7

In a line graph how does the slope of a line segment relate to the rate of change?​

Mathematics
1 answer:
Tresset [83]4 years ago
7 0

Step-by-step explanation:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line.

If coordinates of any two points of a line are given then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

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<h2>There are 45 houses on the left and require 95 plates, while there are 44 houses on the right and require 94 plates</h2>

Step-by-step explanation:

   Houses are numbered from 1 to 99. So, there are 99 houses. Odd-numbered houses are on the left. So, there are 50 houses on the left, while there are 49 houses on the right.

For houses on left : The houses are numbered 1, 3, 5, 7, 9, 11, 13..... 97, 99

   So 5 houses( 1, 3, 5, 7, 9) require only one plate for numbering, while the remaining 45 houses require 2 plates each. So total number of plates = 5\textrm{x}1+45\textrm{x}2 = 95 plates.

For houses on right : The houses are numbered 2, 4, 6, 8, 10, 12, 14.... 96, 98

   So 4 houses( 2, 4, 6, 8) require only one plate for numbering, while the remaining 45 houses require 2 plates each. So total number of plates = 4\textrm{x}1+45\textrm{x}2 = 94 plates.

∴ There are 45 houses on the left and require 95 plates, while there are 44 houses on the right and require 94 plates.

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