PSAT 1.28 Math Diagnostic

PSAT 1.28 Math Diagnostic. What is the maximum number of text messages he can send in one month for Plan B to cost no more than Plan A?

MathProblem Solving and Data Analysis
PSATPSAT Math Diagnostic
PSAT MathMath Diagnostic

Transcript

00:19

plant a charge is a flat fee of three bucks

00:21

a month and twenty cents per text message Plan b

00:24

charges sixty cents per text message but offers a monthly

00:27

rebate of seven bucks if mr abdul chooses plan b

00:31

what is the maximum number of text messages he consented

00:34

one month Or plan b to cost no more than

00:38

plan a And here the vigilante All right we'll wait

00:42

Is mr abdul buying his phone for himself or for

00:45

his fourteen year old daughter kelly Because she just got

00:48

dumped by jonathan reynolds his past sunday and she is

00:51

gonna have a lot of texting to do over the

00:53

next few weeks We're just saying i'm looking out for

00:56

you there mr f okay so we're looking at options

00:58

of zero for eight twenty five spoof we're really hoping

01:01

the correct answer is d because we pretty much just

01:04

sent a text messages By the time we walked out

01:06

on the horizon story waken rewrite plan a is a

01:09

linear equation and any time we make a word problem

01:12

look matthew well that's a good start so let's just

01:15

do it since it twenty cents for a message and

01:17

a number of messages is what we don't know We

01:20

can call that point two x one x would be

01:23

a whole dollar and then tack on a plus three

01:26

for three dollars monthly charge so we get point two

01:28

x plus three Well plan b is sixty cents per

01:31

message with a seven dollars monthly rebate So point six

01:34

x minus seven now we're trying to figure out where

01:37

these two would meet in the middle cost wise so

01:39

let's set him equal to each other Tothe point two

01:41

x plus three equals point six x minus seven we

01:44

can add seven of both sides to get point two

01:47

x plus ten equals point six x then subtract point

01:50

two x from both sides to get ten equals point

01:53

for x and finally divide both sides by point for

01:56

to get x equals twenty five which is option d

01:59

mister ray we strongly suggest you just go with plan

02:02

a So you can text to your heart's content without

02:04

breaking the bank Then again if this for kelly we

02:07

might actually recommend plan c hu tin cans and a 00:02:09.98 --> [endTime] length of string Your wallet will thank you