Illustrative Math - Algebra 2 - Unit 4 - Lesson 16 - Formative Library | Library

The revenues of two companies can be modeled with exponential functions f and g. Here are the graphs of the two functions. In each function, the revenue is in thousands of dollars and time, t, is measured in years. The y-coordinate of the intersection is 215.7. Select all statements that correctly describe what the two graphs reveal about the revenues.

The intersection tells us when the two companies have the same revenue.

At the intersection, f(t)>g(t).

We need to know both expressions that define f and g to find the value of  at the intersection.

At the intersection, f(t)=215.7 and g(t)=215.7.

The intersection of the graphs tells us when the revenues of the two companies grow by the same factor.

If we know at least one of the expressions that define f and g, we can calculate the value of t at the intersection.

F.LE.4

F.IF.2

A.REI.11

The function f is given by f(x)=100*3^{x}. Select all equations whose graph meets the graph of f for a positive value of x.

F.LE.4

F.IF.2

A.REI.11

The half-life of nickel-63 is 100 years. A students says, “An artifact with nickel-63 in it will lose a quarter of that substance in 50 years.”

Do you agree with this statement? Explain your reasoning.

F.LE.4

F.IF.2

A.REI.11

Here are graphs of the functions f and g given by f(x)=100*(1.2)^{x} and g(x)=100*e^{0.2x}.

F.LE.4

F.IF.2

A.REI.11

10.

This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/16/index.html ; accessed 27/July/2021.

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