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

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. <br /><br />1. $y=80(1.4)^{x}$: This is not an exponential decay equation because the base of the exponent (1.4) is greater than 1.<br />2. $y=\frac {1}{2}(4)^{x}$: This is not an exponential decay equation because the base of the exponent (4) is greater than 1.<br />3. $y=4(\frac {1}{2})^{x}$: This is an exponential decay equation because the base of the exponent (1/2) is between 0 and 1.<br />4. $y=60(0.7)^{x}$: This is an exponential decay equation because the base of the exponent (0.7) is between 0 and 1.<br />5. $y=3(0.6)^{x}$: This is an exponential decay equation because the base of the exponent (0.6) is between 0 and 1.