contestada

Look at the graph.
Which function can be used to represent the graphed geometric sequence?

answer choices:

a) f(x)=80(1/4)^x-1

b) f(x)=320(1/4)^x-1

c) f(x)=80(4)^x-1

d) f(x)=320(4)x-1

Look at the graph Which function can be used to represent the graphed geometric sequence answer choices a fx8014x1 b fx32014x1 c fx804x1 d fx3204x1 class=

Respuesta :

kudzordzifrancis

Answer:

[tex]f(x) =80 \cdot \: {( \frac{1}{4} )}^{x - 1} [/tex]

Step-by-step explanation:

Fro the graph, the first three terms of the sequence are 80,20,5,...

This is a geometric sequence with first term

[tex]f(1)= 80[/tex]

The common ratio is

[tex]r = \frac{20}{80} = \frac{5}{20} = \frac{1}{4} [/tex]

The function is given by

[tex]f(x) = f(1) \cdot \: {r}^{x - 1} [/tex]

We substitute the values we got from the graph into this formula to get:

[tex]f(x) =80 \cdot \: {( \frac{1}{4} )}^{x - 1} [/tex]

The correct answer is A

Answer:

its A on endgenuity

Step-by-step explanation: