2. A recipe says that 6 spring rolls will serve 3 people. Complete the table as you answer the questions. Be prepared to explain your reasoning. a. How many people will 1 spring roll serve?

b. How many people will 10 spring rolls serve? 16 spring rolls? 25 spring rolls

C. How many people will n spring rolls serve?

Answers:

a. 0.5 people

b. 10 spring rolls will serve 5 people, 16 spring rolls will serve  8 people, 25 spring rolls will serve 12.5 people

c. n/2 or 1/2 of n

Step-by-step explanation:

if 6=3p, p representing each person, then we find that 2 spring rolls serve 1 person, so 1 spring roll serves 0.5 people!

if 1=0.5p, then p is 1/2 of the amount of spring rolls.

Divide each of the amount of spring rolls by 2.

10=5p

16=8p

25=12.5p

n=n/2

The variable p is important, as to show that it's the amount of people.

Hope this helps!

--Applepi101

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}

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .