Understanding Exponential Growth in Calf Weight

The video tutorial explains a word problem involving a newborn calf that gains weight by 5% each week. It discusses the relationship between time and weight, identifying time as the input and weight as the output. The tutorial demonstrates how to calculate the calf's weight over several weeks using percentage increase and highlights the concept of exponential growth.

What is the initial weight of the newborn calf?

• 30 kilograms

• 35 kilograms

• 40 kilograms

• 45 kilograms

Which factor affects the calf's weight over time?

• The passage of time

• The calf's diet

• The weather

• The calf's activity level

What is the weight of the calf after one week?

• 42 kilograms

• 43 kilograms

• 41 kilograms

• 44 kilograms

How do you calculate a 5% increase on a given weight?

• Multiply by 0.05

• Subtract 5

• Add 5

• Multiply by 1.05

What is the weight of the calf after two weeks?

• 43.1 kilograms

• 46.1 kilograms

• 44.1 kilograms

• 45.1 kilograms

Why does the weight increase not follow a simple addition pattern?

• Because the weather changes

• Because the calf exercises

• Because the weight is multiplied by a percentage

• Because the calf eats more

What is the weight of the calf after three weeks?

• 48.31 kilograms

• 47.31 kilograms

• 46.31 kilograms

• 45.31 kilograms

What mathematical concept describes the calf's weight increase?

• Linear growth

• Quadratic growth

• Exponential growth

• Logarithmic growth

What is the formula used to calculate the new weight each week?

• Weight = Previous Weight / 1.05

• Weight = Previous Weight - 5

• Weight = Previous Weight x 1.05

• Weight = Previous Weight + 5

What is the significance of multiplying by 1.05?

• It represents a 5% decrease

• It represents a 5% increase

• It represents a 10% decrease

• It represents a 10% increase