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WITCHER [35]
3 years ago
12

The tables below show two functions. For each set of data:

Mathematics
1 answer:
slamgirl [31]3 years ago
4 0
The first table, representing <em>f</em>(<em>x</em>), is linear.  The data have a constant rate of change or slope:
<em />(between the first two points):  <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4.  The rate of change  between any two points is the same:
(between the last two points):<em>  m</em> = (34-30)/(2-1) = 4/1 = 4.

The second table, representing <em>g</em>(<em>x</em>), is exponential.  The data points are multiplied by the same constant between successive points.  2*2 = 4; 4*2= 8; 8*2 = 16, etc.
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==============================================

Explanation:

y = distance from the base of the pole to the closest person

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-------------

Focus on the smaller right triangle.

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Make sure your calculator is in degree mode.

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Now move to the larger right triangle

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x = arctan(0.17585) same as \tan^{-1}

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x = 9.97 degrees approximately

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