For his phone service, Kevin pays a monthly fee of $12 , and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $99.06.
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, Kevin pays a monthly fee of $12 , and he pays an additional $0.06  per minute of use. The least he has been charged in a month is $99.06.
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

You're told here that the monthly bill is the monthly fee + $0.06 times the number of minutes.  If m is the number of minutes.  What algebraic expression represents the monthly bill? :-)

anonymous · Answer

the 12 dollars represents the monthly bill, so 12+0.06

anonymous · Answer

Close; you're missing a very important part of that statement. It's 0.06 per minute. So how much are you charged for m minutes, given that it costs 0.06 per minute?

anonymous · Answer

erm, 12+0.06=99.06?

anonymous · Answer

No, it's $12+0.06\color{red}m \geq 99.06$ (why is it greater than or equal to?)

anonymous · Answer

because it's the number of minutes he's been charged in the month? o.O

anonymous · Answer

It's because that was the LEAST amount he's ever been charged (this statement allows for the scenarios when his bill was more than 99.06).

Does this clarify things?

anonymous · Answer

It says to write the answer in simplist form.. and yes it does clarify things :)

anonymous · Answer

Alright, now that we know $12+0.06m\geq 99.06$, what do you get when you solve for $m$? :-)

anonymous · Answer

(Note that your answer will also be an inequality)

anonymous · Answer

well I subtracted 0.06 from both sides, am i doing okay so far?

anonymous · Answer

No, 0.06 is the coefficient of m; what you first want to do is subtract 12 from both sides. :-)

anonymous · Answer

is the answer 1451?

anonymous · Answer

That's part of it.  What inequality did you end up with in terms of m?

anonymous · Answer

(i.e. did you get $m\geq 1451$ or $m\leq 1451$?)

anonymous · Answer

m<1451

anonymous · Answer

Unfortunately no. :-/ 

You should have $12+0.06m\geq 99.06 \implies m\geq 1451$.

anonymous · Answer

The interpretation of this answer is that he's billed for at least 1451 minutes every month.

Does this make sense? :-)

anonymous · Answer

Yes it makes alot of sense :)I appreciate it