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IgorC [24]
3 years ago
15

The number of calories burned C varies directly with the time spent exercising T when then it swats for 4 hours he burns 800 cal

ories which of the following equation show this direct linear variation
A c=800+
B c=4t
C c=t
D c=200t
Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

<u>Option D : c =200t</u>

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

<u>The answer is option D : c =200t</u>

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We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

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<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

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<em />

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<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

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