which equation models an exponential decay
y=1/4x500^x
1/3y=6x100^x
y=0.5x8^x
y=23x(1/2)^x
y=0.004x2^x
i think it is d
any number less than one to a positive power gets smaller. which one of those fits that description?
umm idk c?
To determine which equation models an exponential decay, we need to look for an equation that has a base greater than 1 raised to a power with a negative sign.
Let's go through each equation:
a) y = (1/4) * 500^x: This equation has a base greater than 1 (500), but the exponent (x) is positive, so it represents exponential growth.
b) (1/3) * y = 6 * 100^x: This equation has a base greater than 1 (100), but the exponent (x) is positive, so it also represents exponential growth.
c) y = 0.5 * 8^x: This equation has a base greater than 1 (8), but the exponent (x) is positive, so it represents exponential growth.
d) y = 23 * x * (1/2)^x: This equation has a base between 0 and 1 (1/2), and the exponent (x) is positive, so it represents exponential decay.
e) y = 0.004 * 2^x: This equation has a base greater than 1 (2), and the exponent (x) is positive, so it represents exponential growth.
Therefore, the equation that models exponential decay is d) y = 23 * x * (1/2)^x. You are correct!