Elliot is choosing between two cell phone plans. Plan A charges $10 each month
plus $0.10 per text message. Plan B charges
$5 per month plus $0.20 per text message.
Which of the following inequalities can Elliot
use to find the number of text messages for
which Plan B is less expensive than Plan A?

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

answer: slight chance that it will happen

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

fyuh

step-by-step explanation:

gvfvhv