Verified answer

Answer:

5/2

Step-by-step explanation:

Representation:

• A varies inversely as B
• A = k/B

STEP 1: Find the constant k

Given: A = 10 , B = 2

• A = k/B
• 10 = k/2
• 10×2 = k
• 20 = k

STEP 2: Find the unknown A

Given: B = 8 , k = 20

• A = k/B
• A = 20/8
• A = 5/2

Therefore , the value of A is 5/2

A varies inversely as B when A= 10, B=2. Find A,when B=8?

• A = 2.5

• A = k/b

A = k/b

FIND:

k = ab

k = (10)(2) → (10 times 2)

k = 20

NOW SUBSTITUTE:

A = 20/8 → (20 divide by 8)

A = 2.5

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