Liz's cousin
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A parking garage charges $6 for the 1st 4 hours that a car is
parked in the lot.
So when we look at this problem, we want to know that for the 1st
four hours we're going to get charged $6.
So if we have 0 less than X less than or equal to four for the
1st 4 hours at $6, after that the garage charges an additional
$3.00 an hour.
So if we're charged $6 originally and then $3 for every
hour after that.
So we'd have X -, 4 because we don't get charged until we're
past four hours.
So if X was five 5 - 4, we'd be charged one $3.
If X was six 6 - 4, we'd get charged two extra $3.
So we have 6 + 3 times the quantity X - 4.
If we simplify this out, we'd get three X -, 6, so three X -,
6 for X greater than 4.
Now we're making some assumptions that we're going to
just look at integers here when we're referring to an hours,
because it doesn't talk anything about partial quantity of hours.
There is a math function called the greatest integer function
that if you're talking about partial hours, that maybe we
should be introducing in this.
I'm just not certain.
So this would be a pretty typical generic algebra kind of
setup.
It could get more complex depending on what the
expectation is.