Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals measured in hundreds. What does the solution to the function (2, 8) represent? a graph of a function that increases from the lower left, travels through an ordered pair labelled, 2, 8, and then increases toward the right

There are 800 animals, and the cost is $2,000 daily.
There are 8,000 animals, and the cost is $200 daily.
There are 200 animals, and the cost is $8,000 daily.
There are 2,000 animals, and the cost is $800 daily.

(C). There are 200 animals, and the cost is $8,000 daily.

Step-by-step explanation: We already know (x) is the number of animals measured in hundreds and it would go on the x axis. And that would mean that (f) is going to be on the y axis. Go over on the x axis 2 then for the y axis go up 8 on the y axis and you would get (2,8)= (200 animals, $8,000 a day)

There are 200 animals, and the cost is $8,000 daily

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}