8.which statement best describes the conditions for 
f
(
x
)
=
a
(
b
)
x
fx=abx
to be a model for exponential decay?

a.
b
>
0
b> 0

b.
b
<
0
b< 0

c.
0
<
b
<
1
0
d.
b
>
1
b> 1

The given function is

Exponential functions which have the independent variable as an exponent.

Moreover, these functions can express decay or growth. If the exponential function is decreasing, that will express decay.

Specifically, the condition to have a decreasing exponential function is that , that is, the base of the power must be between zero and one.

This means that the right answer is C, because expresses this condition for exponential decay.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.