Answer:
(a) [tex]k=\frac{41}{24}[/tex]
(b) [tex]d=\frac{41}{24} t[/tex]
(c) [tex]d=\frac{41}{4}[/tex]
Explanation:
As d varies directly as t,
[tex]d=kt[/tex]
Here, k is a constant.
(a)
Put [tex]d=20.5\,,\,t=12[/tex]
[tex]20.5=12k\\\\k=\frac{41}{24}\\\\k= 1.71[/tex]
(b)
Put [tex]k=\frac{41}{24}[/tex] in [tex]d=kt[/tex]
[tex]d=\frac{41}{24} t[/tex]
(c)
Put [tex]t=6[/tex] in [tex]d=\frac{41}{24} t[/tex]
[tex]d=\frac{41}{24} (6)\\\\d=\frac{41}{4}[/tex]
