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.
N.RN.1
A.SSE.1.a
F.IF.8.b
F.LE.2
A.SSE.1.b
1
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.
N.RN.1
A.SSE.1.a
F.IF.8.b
F.LE.2
A.SSE.1.b
1
3.
Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b.
Show your reasoning.
N.RN.1
A.SSE.1.a
F.IF.8.b
F.LE.2
A.SSE.1.b
1
4.
1
5.
1
6.
The value of a home increases by 7% each year. Explain why the value of the home doubles approximately once each decade.
N.RN.1
A.SSE.1.a
F.IF.8.b
F.LE.2
A.SSE.1.b
1
7.
Here is the graph of an exponential function f.
The coordinates of A are (\frac{1}{4},3). The coordinates of B are (\frac{1}{2},4.5). If the x-coordinate of C is \frac{7}{4}, what is its y-coordinate? Explain how you know.
N.RN.1
A.SSE.1.a
F.IF.8.b
F.LE.2
A.SSE.1.b
This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 6. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/6/index.html ; accessed 27/July/2021.
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