janiakay janiakay
  • 14-06-2020
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 14-06-2020

Answer:

t = 24

Step-by-step explanation:

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

t = [tex]\frac{k}{a}[/tex] ← k is the constant of variation

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

2 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )

72 = k

t = [tex]\frac{72}{a}[/tex] ← equation of variation

Given a = 3, then

t = [tex]\frac{72}{3}[/tex] = 24

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