Respuesta :

Answer:

The multiplicative rate of change is 3

Step-by-step explanation:

The given graph passes through the points:

[tex](-2,\frac{2}{9}),(-1,\frac{2}{3}),(0,2),(1,6),(2,18),(3,54)[/tex]

The multiplicative rate of change is the factor that multiplies each y-value to give the subsequent y-values.

We can find that factor by dividing a y-value by the previous y-value of any two consecutive y-value.

The multiplicative rate of change is [tex]\frac{6}{2}=3[/tex] or [tex]\frac{18}{6}=3[/tex] or [tex]\frac{54}{18}=3[/tex]  or [tex]\frac{2}{\frac{2}{3} } =3[/tex].