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#1: A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 40.

What is the population of the bacteria after 40 hours?

#2: The radioisotope Iodine-123 is used in thyroid therapy. The half-life of this isotope is 13.27 hours.

Which equation determines the percent of an initial amount of the isotope remaining after t hours?

A= 100(1/2)^t/13.27

A= 13.27(1/2)^t/100

A= 13.27(1/2)^100/t

A= 100(1/2)^13.27/t

#3: What is the simplest radical form of the expression?

(x^2y^8)^2/3

#4: Due to an accident on the highway, the Stanford family is delayed driving to their weekend destination. Their average speed is 30 miles per hour for the first portion of their trip as they come upon the accident site. After passing the accident site, their average speed increases to 50 miles per hour. The Stanford family can express their average speed for the entire trip as 30x+50(x+2)2x+230x+50(x+2)/2x+2. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete the statements.

The numerator of the rational expression represents the Stanford family's (total time travel/total distance traveled/speed for the entire trip)

The denominator of the rational expression represents the Stanford family's (total time travel/total distance traveled/speed for the entire trip)

Dec 14, 2017

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#1: A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 40.

What is the population of the bacteria after 40 hours?

P  =  40(2)^(t/15)    where t is in hours

So

P  after 40 hours is

40(2)^(40/15)   ≈   254

#2: The radioisotope Iodine-123 is used in thyroid therapy. The half-life of this isotope is 13.27 hours.

Which equation determines the percent of an initial amount of the isotope remaining after t hours?

A= 100(1/2)^t/13.27

#3: What is the simplest radical form of the expression?

(x^2y^8)^2/3  =

( x^4 y^16)^(1/3)  =

∛[ x^4 y^16 ]  =

xy^5 ∛ [ xy]

4  The numerator of the rational expression represents the Stanford family's

(total distance traveled)

The denominator of the rational expression represents the Stanford family's

(total time travel)

{ D  / T  =  R  }   Dec 14, 2017
edited by CPhill  Dec 14, 2017