math108x_document_w11GroupAssignment
xlsx
School
Brigham Young University, Idaho *
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Course
108
Subject
Mathematics
Date
Jan 9, 2024
Type
xlsx
Pages
12
Uploaded by MasterDuckMaster409
Problem 1
Problem 2
Answer
Answer
(2, 6)
Dependent System
Infinite Answers
Solve the following sytems of linear equations. If you
have questions about how to complete this
assignment, please first consult your textbook.
Problem 3
Answer
m
(0.6, -0.5)
Ace Rentals charges $15 per day plus 10 cents per
mile to rent a basic car. Zippy Cars charges $18 per
day plus 8 cents per mile to rent the same car.
If you
plan to rent the car for one day, how many miles will
have to be driven for the cost of a car from Ace
Rentals to equal the cost of a car from the Zippy
Cars?
Use the information from Step 1 to create functions
for the rental costs for each company.
The two equations form a system of equations. Solve
the system to calculate how many miles have to be
driven for the cost of a car from Ace Rentals to equal
the cost of a car from the Zippy Cars. Type the
answer below.
x=miles driven y= total cost
Ace
y=.10x+15
Zippy
y=.08x+18
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answer below.
(150, 30)
Please list any key assumptions you can think of.
Please list any key variables you can think of.
What does this mean? When should a renter choose
Ace and when should they choose Zippy?
Are there any other factors that you would take into
account besides the cost? What are they?
You should use Ace up to the solution from the
equation. If you need to travel past the solution,
you should use Zippy for your car rental service.
1) We assume the cars will be available
2) We assume we are able to rent from both
3) We assume we will be able to travel
4) We
assume we will have enough money to travel
5) We assume we will need to use a credit card
1)
The number of miles driven per day
2)
The type of car and the miles per gal it gets
3)
4)
5)
I would take into account the weather. If it was bad
weather, we might need a bigger car costing more
and taking longer to travel. Travel insurance is
another factor.
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What factors should a rentor consider when they
evaluate their reasoning?
Miles. Mileage is not always accurate and also
emergencies.
Lina just graduated and got a great job as a graphic designer in
San Francisco with a starting salary of $55,205 per year. After
looking at the cost of apartments in SF she decided to consider
a crazy plan she read about online: living in Las Vegas and
commuting to San Francisco for her new job.
She decides to ask her boss how many days per month she will
need to work in the office and how many days she can work
from home.
Then she does some research and finds the following costs:
Average rent per month: San Francisco $2965, Las Vegas $610.
Average cost of transportation per day: San Francisco $7, Las
Vegas $155.
Please write in plain English how to calculate the total cost of living in
each city.
Now, please convert the English explanations to math equations for the
cost of both cities.
Will it cost less to rent an apartment in Los Vegas and buy a
plane ticket to San Francisco, or will it be cheaper to rent in
San Fran and walk orTrolly to work? We will need to figure
out the cost of the ticket and apartment to and from both
and the number of days she will need to come into office in
order to find the cheapest cost.
cost of both cities.
Finally, the two equations form a system of equations. Please solve the
system to calculate how many days Lina can work in San Francisco before
it is too expensive to commute from Las Vegas.
x=average cost of transportation
y=average rent cost
San Fran
y=7x+2965
Las Vegas
y=155x+610
(15.912, 3076.385)
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Please list any key assumptions you can think of.
Please list any key variables you can think of.
Let's say that Lina only has to come into the office twice a week. Which of
the two cities would you live if you were her? Why?
I would recommend living in Las Vagas because it cheaper.
Lets
assume 4 weeks in a month meaning 8 commutes a
month.
Las Vegas because it would be way cheaper to go into work.
155*(8)+610=1850 cheaper than San Fransico.
7*(8)+2965=3021 San Fransico.
Savings of
$1171 a month
1) She assumes she will be able to travel to work
2) She assumes she can find an place to rent for around 610
3) She assumes she is able to rent
4) She assumes she will have the option to work from home
5)
1) The number of days she will be working in the office
2) The cost of a plane ticket
3) The time to travel
4) The amount of pay
5)
Let's say that Lina has to come into the office three times a week. Which
of the two cities would you live if you were her? Why?
Again 4 weeks in a month meaning a total of 12 commutes a
month.
155*(12)+610=2470 cheaper than San Fransico.
7*(12)+2965= 3049 San Fransico.
Savings of $579 a month.
Lina plans to reevaluate her decision after one year.
What
things should she look at to determine if she made the
correct decision?
If she is still saving money verses the time she
spend traveling. If she still is able to work from
home a few days a week. Does she like her new
job and will she stay with this job or look for a
better one.
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