For his phone service, Ahmad pays a monthly fee of $20, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $97.84.
What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m.

Question

For his phone service, Ahmad pays a monthly fee of $20, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $97.84.
What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m.

anonymous · Answer

@icecreamman

anonymous · Answer

97.84 - 20 = 77.84 divided by 0.07 =1,100?

anonymous · Answer

wait where did the 1100 come from?

anonymous · Answer

first set up your inequality

anonymous · Answer

dont jump the gun here start iwth the inequalit

anonymous · Answer

i subtracted 20 from 97.84 = 77.84 because thats the mmounthly fee and then i divided 77.84 by 0.07 for the minutes used?

anonymous · Answer

how should is set it up?

anonymous · Answer

set up your inequaltiy i want to see what you started with

anonymous · Answer

what do you mean?

anonymous · Answer

you are sort of hinted that you needed to start with an equation

anonymous · Answer

i thought that is how you solve these problems

anonymous · Answer

no you have to start iwth the inequaltiy. so i will give you the starting point

omarbirjas · Answer

Ok so we know he has a base payment is 20. and for every minute you pay .07 cents. lets put that into an epression and we get $$20+.07m$$ let m represent the number of mins.

anonymous · Answer

$$20+0.07m<91.84$$

omarbirjas · Answer

No @icecreamman

anonymous · Answer

how should i solve this?

omarbirjas · Answer

its greater than or equal to 91.84

anonymous · Answer

no it has the <97.84 because at the end of the problem it says The least he has been charged in a month is $97.84.

omarbirjas · Answer

$$20+.07m \ge 91.84$$

omarbirjas · Answer

Yea it says LEAST not MOST...

omarbirjas · Answer

now all you have to do is, subtract 20 from both sides then devide both sides by .07

anonymous · Answer

no i swear its least not "most " the sign you have is greater than or equal to i think that least means less than or equal to omar

anonymous · Answer

so im sure that it is $$20+0.07m<97.84$$

omarbirjas · Answer

91.84 is the smallest amount he's been charged....hence making the other side of the inequality more than that. and it HAS to be equal to because he's been charged that much.

anonymous · Answer

ok so then the inequality sign will be |dw:1427763146327:dw|

omarbirjas · Answer

@iambatman HALP US, we haz a dis agreements.

omarbirjas · Answer

|dw:1427763171601:dw|

anonymous · Answer

so 97.84-20 = 77.84

anonymous · Answer

yes @RaeBeach9296

omarbirjas · Answer

no...

omarbirjas · Answer

icecreamman is trying to give you the wrong answer....

anonymous · Answer

now divide 77.84 by 0.07? = 1,112?

omarbirjas · Answer

@confluxepic

anonymous · Answer

Lol, it's greater than equal to, it's at least.

anonymous · Answer

@iambatman can you please explain?

omarbirjas · Answer

See ^-^

anonymous · Answer

now im confuzed

omarbirjas · Answer

any whooooo 20+.07m≥91.84 now subtract 20 from both sides and devide by .07, what do you get?

anonymous · Answer

1,112

omarbirjas · Answer

Mr.WolframAlpha speaks to me otherwise fellow lad...

omarbirjas · Answer

subtract 20 from both sides and you get .07m≥71.84

omarbirjas · Answer

$$.07m \ge 71.84$$

omarbirjas · Answer

Multiply both sides by a hundered to make it simpler and you get $$7m \ge 7184$$

omarbirjas · Answer

now devide both sides by seven and you get $$m \ge 1026.285714..............$$

omarbirjas · Answer

Tada