Illustrative Math - Algebra 2 - Unit 4 - Lesson 7 - Formative Library | Library

The half-life of carbon-14 is about 5,730 years. A fossil had 6 picograms of carbon-14 at one point in time. (A picogram is a trillionth of a gram or 1*10^{-12} gram.)

Which expression describes the amount of carbon-14, in picograms, years after it was measured to be 6 picograms.

…

The half-life of carbon-14 is about 5,730 years. A tree fossil was estimated to have about 4.2 picograms of carbon-14 when it died. (A picogram is a trillionth of a gram.)

The fossil now has about 0.5 picogram of carbon-14. About how many years ago did the tree die? Show your reasoning.

…

Tyler says that the function f(x)=5^{x} is exponential and so it grows by equal factors over equal intervals. He says that factor must be \sqrt[10]{5} for an interval of \frac{1}{10} because ten of those intervals makes an interval of length 1.

Do you agree with Tyler? Explain your reasoning.

…

Select all expressions that are equal to 8^{\frac{2}{3}}.

…

This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/7/index.html ; accessed 27/July/2021.

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Illustrative Math - Algebra 2 - Unit 4 - Lesson 7

The half-life of carbon-14 is about 5,730 years. A fossil had 6 picograms of carbon-14 at one point in time. (A picogram is a trillionth of a gram or 1*10^{-12} gram.) Which expression describes the amount of carbon-14, in picograms, years after it was measured to be 6 picograms.

The half-life of carbon-14 is about 5,730 years. A tree fossil was estimated to have about 4.2 picograms of carbon-14 when it died. (A picogram is a trillionth of a gram.) The fossil now has about 0.5 picogram of carbon-14. About how many years ago did the tree die? Show your reasoning.

Tyler says that the function f(x)=5^{x} is exponential and so it grows by equal factors over equal intervals. He says that factor must be \sqrt[10]{5} for an interval of \frac{1}{10} because ten of those intervals makes an interval of length 1. Do you agree with Tyler? Explain your reasoning.

Select all expressions that are equal to 8^{\frac{2}{3}}.

The half-life of carbon-14 is about 5,730 years. A fossil had 6 picograms of carbon-14 at one point in time. (A picogram is a trillionth of a gram or 1*10^{-12} gram.)

Which expression describes the amount of carbon-14, in picograms, years after it was measured to be 6 picograms.

The half-life of carbon-14 is about 5,730 years. A tree fossil was estimated to have about 4.2 picograms of carbon-14 when it died. (A picogram is a trillionth of a gram.)

The fossil now has about 0.5 picogram of carbon-14. About how many years ago did the tree die? Show your reasoning.

Tyler says that the function f(x)=5^{x} is exponential and so it grows by equal factors over equal intervals. He says that factor must be \sqrt[10]{5} for an interval of \frac{1}{10} because ten of those intervals makes an interval of length 1.

Do you agree with Tyler? Explain your reasoning.