The number of calories burned C varies directly with the time spent exercising T when then it swats for 4 hours he burns 800 calories which of the following equation show this direct linear variation

A c=800+

B c=4t

C c=t

D c=200t

Option D : c = 200t

Step-by-step explanation:

The number of calories burned C varies directly with the time spent exercising T

∴ ∝ t

∴ c = a t

Where a is the constant of proportion

exercising for 4 hours he burns 800 calories

∴ c = 800 when t = 4

∴ 800 = 4 a

∴ a = 800/4 = 200

∴ c = 200 t

The answer is option D : c = 200t