Adding and Subtracting Rational Expressions

The video tutorial covers exponential growth and decay, explaining how to write and evaluate exponential equations in real-world contexts. It includes examples such as rabbit population growth, overcrowding in India, investment growth, and bacteria decay. The tutorial also compares exponential and linear models, using job salary growth as a practical example.

What is the key difference between exponential and linear growth?

• Linear growth involves multiplying by a fixed amount each time.

• Exponential growth involves a constant rate of change.

• Linear growth involves a constant rate of change.

• Exponential growth involves adding a fixed amount each time.

In the formula y = a(1 + r)^x, what does 'a' represent?

• The initial value

• The time period

• The final value

• The growth rate

If a population of rabbits grows by 25% each year, what is the growth rate in decimal form?

• 0.025

• 0.25

• 25

• 2.5

After 10 years, a rabbit population that started with 15 rabbits and grows by 25% annually will be closest to:

• 120 rabbits

• 140 rabbits

• 150 rabbits

• 130 rabbits

A town's population grows by 12% annually. If it starts with 75,000 people, what will the population be after 5 years?

• 100,000

• 132,176

• 95,000

• 120,000

If a bacterial count decreases by 10.5% per day, what is the decay rate in decimal form?

• 10.5

• 0.0105

• 1.05

• 0.105

Which model should be used if a population increases by a fixed number each year?

• Exponential model

• Linear model

• Logarithmic model

• Quadratic model

If a job offers a 5.6% raise each year, which type of growth is this?

• Linear growth

• Exponential growth

• Quadratic growth

• Logarithmic growth

After 8 years, which job would you choose if Job A offers a 5.6% raise annually and Job B offers a $2000 raise annually, both starting at $57,000?

• Both are equal

• Neither

• Job B

• Job A

If a car depreciates by 4.5% annually, what will its value be after 10 years if it started at $27,000?

• $12,000

• $20,000

• $17,037.17

• $15,000