Year 2021- 2022
Rollercoaster Project
This is the rollercoaster project. Here we are connecting the physical shape/ graph of a polynomial, to the loopy shape of a rollercoaster. In order to graph our polynomials, we need to understand how to classify one. We classify polynomials by degree (the highest degree) and term number. Degree names include cubic=3, quadratic=2, and quartic=4. Term number names include monomial=1, binomial=2, trinomial=3, and polynomial= +4. We also use our basic understanding of an x & y coordinate place to graph polynomials. Once we have a polynomial graphed we are then able to evaluate the key features which include maximum (highest y value), minimum (lowest y value), domain (highest & lowest x value), range (highest + lowest y value), and end behavior.
Page 1
Page 2
Page 3
Exponential Growth and Decay Exploration
y=ab^x
Cara has been growing a lemon tree for 4 months and it's expected to grow to 55ft. Currently, it is 12ft and has been growing at a rate of 23%. What month is the tree supposed to reach its expected height?
Equation: y= 12(1.23)^x
Initial value (a)= 12ft
Growth rate (r) =.23 but because this is exponential growth, we will add 1 so r= 1.23
Number of time intervals (x) is what we are trying to figure out
Final Answer: In about 7 months, Cara's lemon tree will reach the expected 55ft.
Teejay has gotten a mega bag of candy with 156 pieces in it for his birthday. His sugar tooth has caused him to devour the bag at a rate of 7%. How many days will Teejay have until he reaches the end of the bag?
Equation: y= 156(0.93)^x
Initial value (a)= 156 pieces
Decay rate (r) =. but because this is exponential decay, we will subtract 0.07 from 1, r= 0.93
Number of time intervals (x) is what we are trying to figure out
Final Answer: In 0 days, Teejay will finish the bag of candy. This answer may seem kinda confusing but to justify it we would use the Inverse Log.
Financing Life Project 4/22- 4/25
Have you thought about what you will do after high school? Whether you choose to go into the military, start your own business, go straight into the work force or go to college, everyone needs some type of income to survive.
Part 1: We were tasked to find a job and car and calculate if we could afford it with the salary of the job
For my job I choose to become a biomedical engineer which has an annual salary of $97,410. I then calculated my gross monthly salary by dividing the annual one by 12 which was $8,117.40. With this knowledge, I picked a 2019 Civic LX as my car which I could successfully purchase with the lowest monthly payment of $472.03 (interest rate 1.9%) and the highest monthly payment of $640.86 (interest rate 14.9%)
Part 2: Now we are trying to calculate if we can afford a monthly house payment on top of our other bills such as a car payment, student loan, gas bill, etc.
With this part of the project I learned how to effectively budget and balance all the different kind of bills I could potentially pay. This project was a big realization for me since I am so close to adulthood and made me realize how important it is to obtain a substantial source of income. I also realized how some sacrifices will need to happen in order for me to acquire my bare necessities such as housing, transportation, and food.