If t varies inversely with a and t is 2 when a is 36 what is t when s is 3

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

Answer:

t = 24

Step-by-step explanation:

Given that t varies inversely with a then the equation relating them is

t = $\frac{k}{a}$ ← k is the constant of variation

To find k use the condition t = 2 when a = 36, that is

2 = $\frac{k}{36}$ ( multiply both sides by 36 )

72 = k

t = $\frac{72}{a}$ ← equation of variation

Given a = 3, then

t = $\frac{72}{3}$ = 24

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