Question

T varies directly as S and inversely proportional to V. When S = 36 and V = 16, T = 27.
Find;
(a) the formula that connects T, S and V
(b) T when S = 33 and V = 18.

Answer 1

Answer:

hope this will help you

Step-by-step explanation:

the initial statement is

s

∝

r

t

to convert to an equation multiply by k the constant of

variation

⇒

s

=

k

×

r

t

=

k

r

t

to find k use the condition given

s

=

10

when

r

=

5

and

t

=

3

s

=

k

r

t

⇒

k

=

s

t

r

=

10

×

3

5

=

6

the equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

s

=

6

r

t

2

2

∣

∣

∣

−−−−−−−−−−−−

s

=

3

when

r

=

4

s

=

6

r

t

⇒

t

=

6

r

s

=

6

×

4

3

=

8

Answer 2

Answer:

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