Marge runs an ice cream parlor. her specialty is triple chocolate sundaes. she can prepare 1 sundae every 2 minutes, and she earns $1.20 for each sundae she makes. if she just makes sundaes for a single shift of at most 4 hours and at least 2 hours, which function relates her earnings to the number of minutes she works?

First, find the relationship between the number of minutes, x, she works and the number of sundaes,s, she makes

She makes s = [1sundae / 2 minutes]* x = x/2

Now find the relation of the earnings, E, with the number of sundaes she works

E =  $1.20* s = 1.2s.

And finally, relate E with the number of minutes she works,  x: E = 1.2 [ x/2]

E = 0.6x

Hope this helps!

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}

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation: