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Lady bird [3.3K]
4 years ago
9

Y is inversely proportional to x and that y = 37 when x =72. Find y when x = 12

Mathematics
2 answers:
Free_Kalibri [48]4 years ago
7 0

let

y = k/x

where k is proportional constant

putting y = 37 and x =72

37 = k / 72

k = 37 × 72

so now we got value of k

.put it again in equation

y = 37×72/x

let's calculate y when x = 12

y = 37 × 72/12 = 37 × 6 = 222

GrogVix [38]4 years ago
3 0

Answer:  y = 222

<u>Step-by-step explanation:</u>

y inversely proportional to x means:       x · y = k

<em>where k is the constant of proportionality</em>

Step 1: Find the k-value

x · y = k

72 · 37 = k

2664 = k

Step 2: substitute k = 2664 and x = 12, then solve for y

x · y = k

12 · y = 2664

     y = 222      <em>divided both sides by 12</em>

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