Question

Define- Name a situation that is exponential - involves exponents:

Define-Write a table out if you have $100 and you gain 5% each year for 3 years:
Define-Write a table out if you have $100 and you lose 5% each year for 3 years:

Answer 1

[AI-generated answer — Bot GPT 3.5]

Exponential means involving the mathematical operation of raising a quantity to an exponent.

Situation that is exponential: The growth of a population over time, where the population size increases exponentially.

Table for gaining 5% each year for 3 years:

Year 1: $100 + 5% of $100 = $100 + $5 = $105
Year 2: $105 + 5% of $105 = $105 + $5.25 = $110.25
Year 3: $110.25 + 5% of $110.25 = $110.25 + $5.5125 = $115.7625

Table for losing 5% each year for 3 years:

Year 1: $100 - 5% of $100 = $100 - $5 = $95
Year 2: $95 - 5% of $95 = $95 - $4.75 = $90.25
Year 3: $90.25 - 5% of $90.25 = $90.25 - $4.5125 = $85.7375