Question

If t varies inversely as a and t= 2 when a = -4, what is t when a = 1/3?

Answer 1

Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as 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 = - 4

2 = $\frac{k}{-4}$ ( multiply both sides by - 4 )

- 8 = k

t = $\frac{-8}{a}$ ← equation of variation

When a = $\frac{1}{3}$ , then

t = $\frac{-8}{\frac{1}{3} }$ = - 24