Illustrative Math - Algebra 2 - Unit 4 - Lesson 6

Last updated over 1 year ago

7 Nsɛmmisa

A.SSE.1.a

A.SSE.1.b

A.SSE.1.a

A.SSE.1.b

A.SSE.1.a

A.SSE.1.b

A.SSE.1.a

A.SSE.1.b

A.SSE.1.a

A.SSE.1.b

Illustrative Math - Algebra 2 - Unit 4 - Lesson 6

Last updated over 1 year ago

7 Nsɛmmisa

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)=1,5000*(3^{\frac{1}{7}})^{t}

p(t)=1,5000*3^{7}t

p(t)=1,5000*3^{\frac{t}{7}}

p(t)=1,5000*3^{t}

A.SSE.1.a

A.SSE.1.b

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 approximated by the function f(d)=21,000*2^{d} , where d represents decades since 2008.

The tuition cost increased about 7.2% each year.

The tuition cost can be defined by the function f(y)=21,000*(1,15)^{frac{y}{2}}, where y represents years since 2008.

The tuition cost increased 7.5% each year.

The tuition cost roughly doubles in 10 years.

A.SSE.1.a

A.SSE.1.b

Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b.
Show your reasoning.

A.SSE.1.a

A.SSE.1.b

The value of a home increases by 7% each year. Explain why the value of the home doubles approximately once each decade.

A.SSE.1.a

A.SSE.1.b

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.

A.SSE.1.a

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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Illustrative Math - Algebra 2 - Unit 4 - Lesson 6

Illustrative Math - Algebra 2 - Unit 4 - Lesson 6

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.

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.

Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b. Show your reasoning.

The value of a home increases by 7% each year. Explain why the value of the home doubles approximately once each decade.

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.

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.

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.

Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b. Show your reasoning.

The value of a home increases by 7% each year. Explain why the value of the home doubles approximately once each decade.

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.

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.

Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b.
Show your reasoning.

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.

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.

Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b.
Show your reasoning.

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.