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Mathematics 7 Online
OpenStudy (carolina4567):

Medal ! Real Quick Help Needed. Thank You

OpenStudy (carolina4567):

For his phone service, John pays a monthly fee of $10, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $71.68 . 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.

OpenStudy (carolina4567):

@Hero

OpenStudy (carolina4567):

@mathstudent55 @welshfella

hero (hero):

Have you attempted to come up With an equation for this?

OpenStudy (carolina4567):

Im not even sure where to start

OpenStudy (carolina4567):

I suppose something like this 10 + 0.06 less than 71.68 not sure

hero (hero):

Okay good, we have something to work with now,

hero (hero):

If someone were to charge you SIX cents per minute for making a call how much do you get charged for the 1st minute? 7

OpenStudy (carolina4567):

Six cents

hero (hero):

How much for 2 minutes?

OpenStudy (carolina4567):

12

hero (hero):

And how much for 3 minutes?

OpenStudy (carolina4567):

18

hero (hero):

Okay so here's what you calculated: 0.06(1) = 0.06 0.06(2) = 0.12 0.06(3) = 0.18

OpenStudy (carolina4567):

Right

hero (hero):

Now if I were to ask you how much would you get charged for talking m mintes on the phone, how can you represent that?

OpenStudy (carolina4567):

Number of minutes = m

hero (hero):

Well, but how much would you get charged?

OpenStudy (carolina4567):

It would be price = minutes

OpenStudy (carolina4567):

or the other way around

hero (hero):

For m minutes you'd calculate 0.06(m) = 0.06m

hero (hero):

So, that's what's missing from your inequality. The m

OpenStudy (carolina4567):

Oh right

OpenStudy (carolina4567):

So 10+0.06(m) less than 71.68

hero (hero):

Also, questions like these can be confusing about which inquality symbol to use.

OpenStudy (carolina4567):

Oh yes would it be less than or equal to ?

OpenStudy (carolina4567):

i think i got it. 10 + 0.06m less than or equal too 71.68 So then we get m less than or equal too 1028

hero (hero):

It says the amount that could be charged is at least 71.68 which means it could be that amount or it could be more which implies that m could be greater than the amount of minutes that would lead to being charged 71.68.

OpenStudy (carolina4567):

Sorry then its m greater than or equal too 1028

hero (hero):

So in actually, the inequality is 10 + 0.06m >= 71.68

OpenStudy (carolina4567):

Yes and the answer is m >= 1028

hero (hero):

So from there, you'd solve for m: 0.06m >= 61.68 m >= 61.68/0.06 m >= 1028

hero (hero):

Great job.

OpenStudy (carolina4567):

Thank you for everything. I totally get this now

hero (hero):

You're welcome.

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