By:Tiffany Hubb

M A T H 1 2 7

PROJECT #1(just click to go to next slide)

DIRECTION FOR PROJECT: What I think I am suppose to do on this project is think of some thing that is in the real world, and also interest you and make a connection to math. Using the equation for simple interest and uniform motion to create two problem whether it be the same thing for each equation or something different.

WHY I CHOSE MY TOPICS: I Chose shooting basketballs, because I played basketball in high school and I loved it! I decided to talk about AJ, because she was my basketball buddy/ best friend. In practice we used to see who could make the most shoots before the buzzer went off. That was one of the first things that came to my mind when I was thinking about a topic to do.

I chose seeing how long it would take me to save up for gas to go home to Maryland, because every break my grandmother has to comes and gets me. Now that I will be driving, I wanted to know how much will I need to save to have enough gas money to get home.

FIVE STEP PROCESS: I will be using the simple interest formula and the uniform motion formula to lead up to the 5- step process.

INTRODUCTION

SIMPLE INTEREST Every break my grandmother would drive 7 hrs to come and

get me, because I did not want to fly or catch the train home. The last time my grandmother brought me back to school she told me she was not going to do this anymore. So I had to think of a plan on how to get back home. So I insist that my mom buy me a cheap car, so I would be I able to drive back home, and so she did. Now it is my job to much sure I have enough gas to make it home.

SIMPLE INTEREST CONT.

PROBLEM: Tiffany has $2,000 to invest to make sure she has enough money

for gas to make it home to Maryland and back to Huntington. The money she invested requires an overall rate of 8%. She can invest in a safe, government-insured certificated of deposit, but it only pays 7%. To obtain 8% she agrees to invest some of her money in noninsured corporate bonds paying 12%. How much should be placed in each investment to much sure she has enough money for gas to make it home and back to Huntington(her goal.)

I=Prt Principal(P): $2,000 the money I invested Time(t): in months … 1 months Rate(r): 12%, %7,%8 every month

SIMPLE INTEREST CHART

SIMPLE INTEREST CONT.SOLUTION Total interest from investment is equal to .08(2000)=160we have to use (below) equation

.12x+.07(2000-x)=160

.12x+140-.07x=160: DISTRIBUTE

.05x=20:COMBINE LIKE TERMS X=400:GET “X” BY ITSELFTiffany should place $400 in the bonds and ($2000-$400=$1600) $1600

in the certificate.

EXPLAINATION FOR SOLUTIONThe interest on the bonds after 1 month is .12($400)=$48;the interest on the certificate after 1 months is .07($1600)=112. The total annual interest is $160, the required amount.

REAL- WORLD PROBLEM: AJ One of basketball team members from back home, shoots an basketball at an average of 50 basketballs per minute (ball/min). Two minutes after AJ shoots, I pick up a basketball and start shooting them

in a hoop. If my average shoot per minute is 90. How long would it take AJ to catch up to with me? How many shoots will we each have taking?

UNKNOWN QUANTIES:TIME(t): in minutes

UNIFORM MOTION

UNIFORM MOTIONCHART

o 50(t+2)=90t: distributive property o 50t+100=90t-50t: combine like term, subtracto 100=40t: divide 40 on both sideso 100/40=t: simplifyo 10/4=t: simplify some moreo 5/2=t, t= 5/2 minute It will take me 5/2 minute to catch to AJ. We will each have shot 225

shots. ‘(check)Plug 5/2(2.5:decimal form) in everywhere you see “t”, and see if both

sides equal one and other. Divide 225/50 and you will get 4.5. Divide 225/90 and you will get

5/2(2.5)In 4.5 minutes, AJ shoots a total number shots of(4.5)(50)=225 shots. In

4.5 minutes, I shoot a total number of (5/2)(90)=225

SOLVING FOR VARIABLES

• My most difficult task was the simple interest part. It was hard to try to make up a problem, that I could solve or understand what I was trying to say.

• My likes so far is the chart, and adding photos and clip art. I haven’t really had any dislikes, I just struggled with the simple interest part of the project.

• I learned that reading over things one than once can REALLY help you understand the problem, or what someone is asking for.

REFLECT ON MY WORK

THE ENDTHANK YOU