Unit 5, Lesson 5
Changes Over Rational Intervals
Algebra 2
Practice
Problem 1
The table shows that the monthly revenue of a business has risen exponentially since it opened an online store.
| months since online store opened |
monthly revenue in dollars |
|---|---|
| 0 | 72,000 |
| 1 | |
| 3 | 90,000 |
| 4 | |
| 6 | 112,500 |
- Use the growth factor to describe how the monthly revenue is growing each month.
- Write an equation to represent the revenue, \(R\), as a function of months, \(m\), since the online store opened.
- Find the monthly revenue 1 month after the online store opened. Record the value in the table. Explain your reasoning.
- Explain how we can use the value of \(R(1)\) to find \(R(4)\).
Problem 2
At 7 a.m., a colony of 100 bacteria is placed on a petri dish where the population is growing exponentially and will triple every 6 hours.
Select all statements that are true about the bacteria population.
When the bacteria population reaches 900, 12 hours have passed since the colony was placed on the petri dish.
Three hours after the colony is placed on the petri dish, there are 200 bacteria.