SATEC Which Taxi to Take?

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Which Taxi to Take???
Turn your desk around so you can see
this at all times, you will also need to
take out some paper to take notes on.
• The Alamo Taxi
Company charges an
initial fee of $2.30
plus 21 Cents every
mile. The Checker
cab Company charges
an initial cost of $1.00
plus 25 cents every
mile.
Write an equation representing
what the Alamo Taxi Company
charges.
Alamo Taxi Company
You are used to seeing equations written in
the following way:
y = mx + b
What do the y, m, x, and b stand for?
y = Dependent variable
x = Independent variable
m = slope (rate of change)
b = y-intercept
Alamo Taxi Company
Things we need to know before we can
write an equation:
1. What are our two variables? Which one
is Independent and which one is
Dependent?
2. What is the rate of change? (How much
per mile)
3. What is the y-intercept? (The minimum
amount charged)
Alamo Taxi Company
Now that we have all
our information,
let’s write our
equation.
y = .21x + 2.30
ANY
QUESTIONS
????
Write an equation representing
what the Checker Cab Company
charges.
y = .25x + 1.00
GOOD
JOB!!!!
• If I only had
$20.00 and called
the Alamo Taxi
Company, How
far would I be able
to go?
How far can I go?
$20.00 = .21x + 2.30
$20.00 – 2.30 = .21x + 2.30 –2.30
$17.70 = .21x
$17.70/.21 = .21x/.21
84.29 = x
We can travel 84.29 miles on our
$20.00.
• I need to travel
15 miles to the
airport, How
much would the
Checker Cab
Company charge
me?
How much must I pay?
y = .25 ( 15 miles) + 1.00
y = $3.75 + 1.00
y = $4.75
I would have to pay $4.75 to
travel 15 miles.
How Many Miles?
• How many miles have I traveled if I would
have to pay the same amount no matter
what taxi I took?
• When is the
Alamo Taxi
Cab Company
cheaper for me
to take?
• When is the
Checker Cab
Company
cheaper for me
to take?
YOUR HOMEWORK
Your classwork/homework is going to be
two worksheets. The first one is called
Calculator Raffle. When you are done
with that worksheet you need to pick up
the 2nd one called Summer Reading. It is
by the door. If you do not finish
Calculator Raffle, you must still pick up
Summer Reading and do it for
homework. Both sheets are due next
class time, when they will be discussed.
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