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Vinil7 [7]
3 years ago
6

This graph shows a proportional relationship.

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

The constant of proportionality is:

  • k = 5/4

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality

From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.

so we have the point (2/5, 1/2), and

x = 2/5

y = 1/2

so substituting x = 2/5 and y = 1/2 in the equation

k = y/x

k = [1/2] / [2/5]

k = [1 × 5 ] /  [2 × 2 ]

k = 5/4

Therefore, the constant of proportionality is:

  • k = 5/4
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Answer:

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8 0
3 years ago
The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.
Olegator [25]

Answer:

<h3>              9, 11, 13, 15</h3>

Step-by-step explanation:

{k - some integer}

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5(2k+1)  - five times the least

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8k + 16 = 10k + 5 + 3

     - 10k       -10k

-2k + 16 = 8

     -16       - 16    

      -2k = -8  

    ÷(-2)    ÷(-2)  

      k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

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2k+7 = 2•4+7 = 15  

Check: 9+11+13+15 = 48;  48-3 = 45;  45:5 = 9 = 2k+1

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3 years ago
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Answer:

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2 years ago
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3 years ago
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34kurt

Answer:

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Step-by-step explanation:

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3 years ago
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