Unit 5, Lesson 6
Writing Equations for Exponential Functions
Algebra 2
Practice
Problem 1
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximate the population, \(p\), as a function of time in days, \(t\), since the population was 1,500.
\(p(t) = 1,\!500 \boldcdot 3^t\)
\(p(t) = 1,\!500 \boldcdot 3^{\frac{t}{7}}\)
\(p(t) = 1,\!500 \boldcdot 3^{7t}\)
\(p(t) = 1,\!500 \boldcdot \left(3^\frac17\right)^t\)
Problem 2
The tuition at a public university was \$21,000 in 2008. Between 2008 and 2010, the tuition had increased by 15%. Since then, it has continued to grow exponentially.
Select all statements that describe the growth in tuition cost.
The tuition cost can be defined by the function \(f(y) = 21,\!000 \boldcdot (1.15)^\frac{y}{2}\), where \(y\) represents years since 2008.