The graph below shows the cost of pens based on the number of pens in a pack. what would be the cost of one pen?
a. $1.50
b. $2.30
c. $6.00
d. $13.50
(worth 10 points! )

A. $1.50

Step-by-step explanation:

Based on the graph, the cost of the pencils is the same regardless of the number bought, so the equation is linear.  You can find the rate, or cost per pencil, by first using two points:

(5, 7.5) and (3, 4.5)

Slope formula:

In order to find the unit rate, you divide the numerator by the denominator to get the price per pencil:

3 ÷ 2 = $1.50 per pencil

the answer is 28

step-by-step explanation:

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}