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What's the answersssss????


What's the answersssss???? ​-example-1

1 Answer

2 votes

Explanation:

inversely proportional to x² means

y = k/x²

directly proportional would have meant

y = kx²

so, based on

y = k/x²

we need to find k out of the given data points, so that we can calculate autobahn data points.

let's start with x = 1

16 = k/1² = k

let's verify : x = 2

4 = 16/2² = 16/4 = 4 correct

x = 3

16/9 = 16/3² = 16/9 correct

x = 4

1 = 16/4² = 16/16 correct

a)

y = 16/x²

b)

y = 25

25 = 16/x²

25x² = 16

let's pull the square root on both sides

5x = 4

x = 4/5

FYI : x could have been also -4/5 (remember, any square root has a positive and negative number solution, as the square is the same). but the request was for the positive number.

User Shubham Sahu
by
7.3k points

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