Question

Here is a rule for the time it takes to cook a chicken.

How many minutes will it take to cook a 3 kg chicken?

What is the mass of a chicken that takes 100 minutes to cook?

Answer 1

Step-by-step explanation:

Step 1: To calculate the time it takes to cook a 3 kg chicken, use the following equation: Time (minutes) = Mass (kg) × Constant

Step 2: Substitute 3 for the mass (kg) and solve for the time (minutes): Time (minutes) = 3 kg × Constant

Step 3: To calculate the constant, use the given information that it takes 100 minutes to cook a chicken of unknown mass (M). Substitute 100 minutes and M for the time and mass, respectively: 100 minutes = M kg × Constant

Step 4: Solve for the constant by dividing both sides by M kg: Constant = 100 minutes / M kg

Step 5: Substitute the value of the constant into the first equation and solve for the time it takes to cook a 3 kg chicken: Time (minutes) = 3 kg × (100 minutes / M kg)

Step 6: Simplify the equation to find the number of minutes it takes to cook a 3 kg chicken: Time (minutes) = 300 minutes

Therefore, it will take 300 minutes, or 5 hours, to cook a 3 kg chicken.

To calculate the mass of a chicken that takes 100 minutes to cook, use the same equation and substitute 100 minutes for the time: Mass (kg) = Time (minutes) / Constant

Substituting 100 minutes and the value of the constant, which is 100 minutes/M kg, yields Mass (kg) = 100 minutes / (100 minutes / M kg) = M kg

Therefore, the mass of a chicken that takes 100 minutes to cook is M kg.

Answer 2

To cook a 3 kg chicken, it will take approximately 49.8 minutes. A chicken that takes 100 minutes to cook weighs approximately 6.02 kg.

Step-by-step explanation:

To find out how many minutes it will take to cook a 3 kg chicken, you can use the given rule that states the time is determined by multiplying the mass of the chicken by a certain factor. Since the rule is not provided, we can use the given example to calculate the factor. According to the example, a chicken with a mass of 5 kg takes 83 minutes to cook. So, the factor is 83 minutes / 5 kg. To find the cooking time for a 3 kg chicken, multiply the mass by the factor:

3 kg * (83 minutes / 5 kg) = 49.8 minutes.

To determine the mass of a chicken that takes 100 minutes to cook, we can rearrange the equation and solve for mass:

mass (kg) = time (minutes) / factor

mass (kg) = 100 minutes / (83 minutes / 5 kg) = 6.02 kg.