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Dr. Banner monitored the decay of a new type of recyclable material he developed for his
gamma radiation study. He noted that the decay of the material could be modeled by the
function f(x) = 100(0.98). What is the rate of decay of Dr. Banner's material?

Dr Banner Monitored The Decay Of A New Type Of Recyclable Material He Developed For His Gamma Radiation Study He Noted That The Decay Of The Material Could Be M class=

Sagot :

nabeelahmed1721

Answer:

The rate of decay is: [tex]2\%[/tex]

Step-by-step explanation:

Exponential functions are modeled by:

[tex]f(x) = a(b)^x[/tex]

Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.

To calculate the percentage, subtract [tex]b[/tex] from 1:

[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]

Multiply the result by 100 to get the percentage.

[tex]0.02 * 100 = 2\%[/tex]

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