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MrRissso [65]
3 years ago
9

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0
We have that an inverse variation in a function is given by:
 y = k / x

 We must find the value of the constant k.
 To do this, we substitute the values of x1 = 12, y1 = 15.
 We have then:
 15 = k / 12

 Clearing k we have:
 k = (15) * (12)

k = 180
 Substituting the value of k we have that the inverse variation is:
 y = 180 / x

 For y2 = 3 we have:
 3 = 180 / x2

 Clearing x2 we have:
 x2 = 180/3
 x2 = 60
 Answer:
 
x2 = 60
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y = 3x - 3

EXPLANATION

Let

y = mx + c

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We can choose any two ordered pairs to determine the equation of the relation.

(6,15) \: and \:  (8,21)

We find m using the formula;

m =  \frac{y_2-y_1}{x_2-x_1}

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This implies that,

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15= 18 + c

15 - 18= c

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