Question

Which equation below will produce a decay curve?

y = 3^x - 4
y = 2(4)^x
y = 1/2(3)^x
y = 6(1/3)^x

Answer 1

Correct option: fourth one -> y = 6(1/3)^x

Explanation:

A decay curve is produced by an exponencial function with a rate lesser than 1 and greater than 0. This way, we have an exponencial function where the values of y decrease when the values of x increase.

The first equation is a linear equation.

The second and third equations are exponencial equations, but with a rate bigger than 1

The fourth equation is an exponencial equation with a rate lesser than 1 and greater than 0, so this equation will produce a decay curve.