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Answered

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Learning Task 1:

A. Complete the table if y varies

directly as x or x²

y x k Equation
30 5 _ _
_ 8 10 _
18 _ _ y=3x
72 _ _ y=2x²
20 _ _ y=x50


​

Sagot :

KuyaEngridn

In the given problem, apply your knowledge in algebraic expression specially in mathematical operation and solving unknown variables.

Solution

The problem is an application of directly proportional, where y = kx.

y | x | k | Equation

30 | 5 | (a) | (b)

(c) | 8 | 10 | (d)

18 | (e) | (f) | y = 3x

72 | (g) | (h) | y = 2x²

20 | (I) | (j) | y = x^50

The letters from a to j represent the unknown value in the table.

Solve for (a) and (b)

y = kx

30 = a(5)

a = 30/5

a = 6

(a) = 6

(b) → y = 6x

Solve for (c) and (d)

y = kx

(c) = (10)(8)

(c) = 80

(d) → y = 10x

Solve for (e) and (f)

y = kx

18 = (e)(f) → y = 3x k = 3

(f) = 3

18 = 3(f)

(e) = 18/3

(e) = 6

Solve for (g) and (h)

y = kx

y = 2x²

k = (h)

(h) = 2

72 = 2(g)²

72/2 = g²

(g) = √36

(g) = ±6

Solve for (i) and (j)

y = kx

y = x^50

(j) = 1

20 = x^50

(i) = 20^1/50

(i) = 1.06

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