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
The letters from a to h 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
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