Project 1
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School
University of Michigan, Flint *
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Course
105
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
4
Uploaded by CorporalBookAnt87
MTH 105-W2 Liberal Arts Mathematics
Written Project ONE (Total Points: 40)
Due: October 1, 2023
Name:_______________________
ID: _________________________
Objectives:
You will understand:
there are many strategies for estimating.
percents are an important quantitative concept.
a few standard benchmarks to estimate the percent
how to estimate and calculate the percent of a number
when an estimate or an exact calculation is appropriate.
Perquisites:
round and estimate numbers.
understand the meaning of percent.
use some percent benchmarks.
convert percents to decimals and calculate with decimals.
Knowing some estimation strategies and percent benchmarks allows you to make quick
calculations when it is inconvenient or unnecessary to calculate exact results. There are many
good estimation strategies. It is important that you develop strategies that make sense to you. A
strategy is wrong only if it is mathematically incorrect.
Answer all parts and show all supporting work. Download and complete your project on
this Word Document. Then upload it to Project 1 as a PDF.
Question 1:
The average smartphone cost jumped by $119 from Q1 2022 to Q1 2023. That makes the
average selling price of a smartphone at a record high of $790. You have been shopping for a
smartphone, and you’ve eventually found one on sale! The original price was $789.99, but the
store is having its annual sale, and advertises that some of their phones are now 20% off.
A.
(4 pts) When might someone be satisfied with an estimate of the smartphone sale price
and when might an exact calculation be needed? B.
(4 pts) Without using a calculator, what is your estimate
of the sale price? Try to make
your estimation calculations mentally
. (You may write down your work if you need to,
but do NOT use a calculator.)
C.
(8 pts) Use some estimation strategies to estimate the price of the smartphone if the sale
sign says:
1)
Part A: 25% off
2)
Part B: 70% off
D.
(4 pts) Use a calculator to find the exact
sale price if the smartphone is 20% off. How
close is your calculation to the estimate you made in (B)?
E.
(4 pts) If you find another $519.99 phone is now on sale for $385 in the store. Calculate
the percent discount, rounding to the nearest tenth percent.
Question 2:
(5 pts) You have a credit card from Chase Bank that awards you a “cash back bonus,” which
means that every time you use your credit card to make a purchase, you earn back a certain
percentage of the money you spend. Your card gives you a fixed bonus of 1.5%. In a particular
month, you spend $642 in purchase. What is the exact amount of your cash back bonus for that
month?
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Question 3: The table below lists the budget of an average college student attending a Community College.
Student Budget (in dollars)
Living at Home with Parents
Off-Campus Apartment
Tuition and Fees
3,450
3,450
Books and Supplies
1,290
1,290
Room and Borad
2,565
7,254
Transportation
3,114
2,565
Personal and Misc
2,214
1,935
Total
12,633
16,494
A. (4 pts) If Sarah lives at home with her parents and Jason lives in an off-campus
apartment. Find the percent of each of their total cost of attendance comes from tuition,
fees, books, and supplies? Express your answers to the nearest 1%.
B.
(3 pts) Does the difference in percents calculated in (B) mean that the tuition, fees, books,
and supplies cost more based on where a student chooses to live?
C.
(4 pts) Suppose Jason has an additional expense of $800 per month on childcare and all
other expenses the same as in the table above. How does this affect the percent that he
spends on tuition, fees, books, and supplies? Calculate the percent for Jason.