Problemas
Select all the equations that represent exponential decay. Select all correct options y=80(1.4)^x y=(1)/(2)(4)^x y=4((1)/(2))^x y=60(0.7)^x y=3(0.6)^x
Roztwór
Rosario
veterano · Tutor durante 9 años
4.5
(177 Votos)
Respuesta
The equations that represent exponential decay are
,
, and
.
Explicación
Exponential decay is a type of decay that occurs when an amount decreases at a rate proportional to its current value. The general form of an exponential decay equation is y = a(b)^x, where a is the initial amount, b is the decay factor (0 < b < 1), and x is the time. In the given options, the equations that represent exponential decay are those where the base of the exponent (b) is between 0 and 1. 1.
: This is not an exponential decay equation because the base of the exponent (1.4) is greater than 1.2.
: This is not an exponential decay equation because the base of the exponent (4) is greater than 1.3.
: This is an exponential decay equation because the base of the exponent (1/2) is between 0 and 1.4.
: This is an exponential decay equation because the base of the exponent (0.7) is between 0 and 1.5.
: This is an exponential decay equation because the base of the exponent (0.6) is between 0 and 1.