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A vegetarian ate 4.35 kg of carrots to get full. On another day, he required 3.51 kg of broccoli to get full. Assume his stomach was equally full on the two occasions.

a) Show that the conversion factor between carrots and broccoli is equal to 1 by writing the equality, then dividing both sides by carrots.

b) Is it a direct proportion?

c) (Hypothetically) how many kg of carrots are there in 155.5 kg of broccoli? (Answer = 193 kg carrots)

Answer :

The conversion factor between carrots and broccoli is equal to 1. It is a direct proportion, and 155.5 kg of broccoli is equivalent to 193 kg of carrots.

To show that the conversion factor between carrots and broccoli is equal to 1, we can set up the following equation: 4.35 kg of carrots = 3.51 kg of broccoli. Dividing both sides of the equation by 4.35 kg of carrots, we get 1 kg of carrots = 3.51/4.35 kg of broccoli. This shows that the conversion factor between carrots and broccoli is equal to 1.

Since the conversion factor is equal to 1, it means that the amount of broccoli required to get full is directly proportional to the amount of carrots required. Therefore, it is a direct proportion.

If, hypothetically, there are 155.5 kg of broccoli, we can use the conversion factor of 1 kg of carrots = 3.51/4.35 kg of broccoli to find the equivalent amount of carrots. Multiplying 155.5 kg of broccoli by 1 kg of carrots = 3.51/4.35 kg of broccoli, we get 193 kg of carrots.

You can learn more about conversion factor at: brainly.com/question/33620664

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