📘 exponential growth

1. The problem states that the rodent population is 380 and grows at 4% per year. 2. The formula for exponential growth is $$y = y_0 (1 + r)^t$$ where $y_0$ is the initial populati

1. **Problem statement:** Eine Wassermelone wiegt 0,3 kg und verdoppelt ihr Gewicht alle 6 Tage. Die Funktion zur Beschreibung des Gewichts ist $f(x) = a \cdot b^x$, wobei $x$ die

1. **State the problem:** A city doubles its population every 83 years. The current population is 88,200. We want to find the population after 249 years. 2. **Formula used:** The p

1. **Problem statement:** We have a colony of 100 bacteria that triples every hour. We want to find the population after a certain time. 2. **Formula:** The population after time $

1. **Problem:** Find the year when the population of West Goma equals the population of East Goma given: $$f(x) = 16.4e^{0.0002x}$$

1. **State the problem:** We are given the function $$f(t) = 40000 \cdot 2^{\frac{t}{790}}$$ which models the number of bacteria at time $$t$$ minutes. We need to find the time $$t

1. **State the problem:** We want to find the time $h$ it takes for the bacteria colonies to grow from 10 to 15,080 given the growth rate is 5% per hour. 2. **Write the formula:**

1. **Stating the problem:** We have a company's digital assets valued at 120 million in 2010, growing according to the unlimited growth model:

1. **Problem Statement:** We want to match the correct graph to the story of folding a piece of paper multiple times.

1. **State the problem:** We want to find the value of a building at the end of 2010 given that its value increases by 3% each year. The initial value at the beginning of 2004 is 4

1. Given the problem: A piece of land is bought for 3000000 and its price increases at a rate of 3% annually. 2. The question asks: After how many years will the price become 40000