a varies directly with b . The value of a is 20 when b = 2.5 .Find the value of a when b= 4 .
Answers
Step-by-step explanation:
ANSWER IN ATTACHMENT
● Answer -
a = 32 when a = 4
● Explaination -
● Explaination -
Given that a is in direct variation with b.
Given that a is in direct variation with b.a ∝ b
Given that a is in direct variation with b.a ∝ ba = kb
Given that a is in direct variation with b.a ∝ ba = kbFor a = 20, b = 2.5.
Given that a is in direct variation with b.a ∝ ba = kbFor a = 20, b = 2.5.20 = k × 2.5
Given that a is in direct variation with b.a ∝ ba = kbFor a = 20, b = 2.5.20 = k × 2.5k = 20 / 2.5
Given that a is in direct variation with b.a ∝ ba = kbFor a = 20, b = 2.5.20 = k × 2.5k = 20 / 2.5k = 8
Given that a is in direct variation with b.a ∝ ba = kbFor a = 20, b = 2.5.20 = k × 2.5k = 20 / 2.5k = 8When b = 4,a = k × b a = 8 × 4a = 32
a = 8 × 4a = 32Hence , a is 32 when b is 4.