Question

1.
Complete the following table considering that the cost of apples and their number are in
direct variation.

Number of apples (x) 1, 4, ....., 12
Cost of apples (y) 8, 32, 56, ......
​

Answer 1

Answer:

If m ∝ n and when m = 154, n = 7. Find the value of m, when n = 14.

Solution:

Given that,

m ∝ n

∴ m = kn …(i)

where k is constant of variation.

When m = 154, n = 7

∴ Substituting m = 154 and n = 7 in (i), we get

m = kn

∴ 154 = k × 7

∴ k=1547

∴ k = 22

Substituting k = 22 in (i), we get

m = kn

∴ m = 22n …(ii)

This is the equation of variation.

When n = 14, m = ?

∴ Substituting n = 14 in (ii), we get

m = 22n

∴ m = 22 × 14

∴ m = 308

Step-by-step explanation:

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