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Exponents and Growth Problems Review

This document contains several math word problems involving exponents: 1) It asks to solve various equations involving exponents, simplify expressions with exponents, and calculate exponential growth and decay over time. 2) Questions involve solving for unknown variables, evaluating exponential functions, finding doubling or tripling times, and calculating percentage changes over time. 3) Exponents are used to represent things growing or decaying over time, such as populations, amounts of substances, or numbers of bacteria.

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Ritsu Tainaka
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220 views1 page

Exponents and Growth Problems Review

This document contains several math word problems involving exponents: 1) It asks to solve various equations involving exponents, simplify expressions with exponents, and calculate exponential growth and decay over time. 2) Questions involve solving for unknown variables, evaluating exponential functions, finding doubling or tripling times, and calculating percentage changes over time. 3) Exponents are used to represent things growing or decaying over time, such as populations, amounts of substances, or numbers of bacteria.

Uploaded by

Ritsu Tainaka
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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MATH-REVIEW EXPONENTS

 Solve for the value of x in 32𝑥+3 = 2,187

 Which of the following is equivalent to 128𝑥 32𝑦 ?

 If 16𝑥 = 25, what is the value of 22𝑥 ?

125𝑎−3 𝑏6 𝑐 9
 Simplify ( )2/3
216𝑥 3 𝑦 −6 𝑧 −9

 Under Certain conditions, the production of people informed through advertising


25
after t weeks is 𝑃(𝑡) = What value does P(t) approach as t becomes
40+12(6−25𝑡 )
larger and larger

 The number of bacteria after t hours is 5.6(106 )3𝑡/5 How long will it take for this
number to triple?

 The population in thousands of country is 𝑃 = 108 (2.5)𝑡/20 where t is measured in years.


How long will it take for the population to increase by 150 percent?

 A drug is eliminated from the body through urination. Suppose that for an initial
dose of 15 milligrams, the amount x in the body t hours later is given by 𝑥 =
10(0.80)𝑡 . What percentage of the drug still in the body is eliminated each hour?

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