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s2008m [1.1K]
3 years ago
15

Find the constant of variation k for the direct variation x -1 0 2 5 f(x) 2 0 -4 -10

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

k = -2

Step-by-step explanation:

x     -1   0   2     5

f(x)  2   0  -4  -10

ƒ(x) = kx

Substitute a pair of values for x and ƒ(x)

-10 = k×5

Divide each side by 5

k = -2

The constant of variation k = -2.

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a)

the average speed, well it does 10 ft in 1.6 secs, so is simply their quotient, 10/1.6 = 6.25 ft/s on average.


b)

over the horizontal, well, it covered horizontally 9.25 ft in those 1.6 secs, so their quotient is 9.25/1.6 = 5.78125 ft/s on average.


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\bf \textit{using the pythagorean theorem}
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c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
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\\\\\\
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