Wednesday, September 22, 2004

Can You Pass the 9th Grade?

Can you pass the 9th Grade????

English: Which word do I choose?

The drug did not (affect, effect) the disease.
Let your (conscious, conscience) be your guide.
I have more food (then, than) you.

Spanish: Answer the following questions in English.
Como te llamas? De donde eres? Cual es tu numero de telefono? Cuantos anos tienes?

World History: What did the Hittites bring? What did the Hyksos bring? What did the Phoenicians bring?

Physics: Kimo drops his ball from a building. After 3 seconds, how fast is it traveling? How far has the ball fallen?


Extra credit bonus question:

Algebra: Christie's birthday is in 18 weeks. She has no money now, but plans to start saving money immediately from her part time job because the car she wants to buy costs $2086. Each week she will set aside the same amount of money. Fortunately, her dad agreed to help her with part of the down payment. The car dealer has guaranteed her a 30 week payment plan which allows her to drive the car away on her birthday if she has paid $1582 by the time of her birthday. She will continue to pay the same set amount weekly for the remaining 12 weeks, at which time the car will be paid off. How much does Christie need from her father? How much must she start saving each week?

- from Christie

1 Comments:

Blogger Mike said...

I got a few responses for the 9th grade test, but not that many. This response probably represented the view of many.

> Forget it!!!! Took me a while to pass the 4th grade.............

Anyway, here are the answers, as far as I could figure.


Can you pass the 9th Grade????

English: Which word do I choose?

The drug did not (affect, effect) the disease.

> affect

Let your (conscious, conscience) be your guide.

> conscience

I have more food (then, than) you.

> than

(although I can imagine a cannibal saying to the person waiting in the pot, "I have more food, then you!")


Spanish: Answer the following questions in English.

Como te llamas?

my wrong answer: My llamas are fine
the question means: What is your name?

De donde eres?

my wrong answer: Yes my eres is dandy
the question means: Where are you from?

Cual es tu numero de telefono?

my wrong answer: I have one telephone
the question means: What is your phone number?

Cuantos anos tienes?

my wrong answer: I have only one anos
the question means: How old are you?


World History:

What did the Hittites bring?

my wrong answer: the Hitites brought writing
the correct answer: Hitites brought iron

What did the Hyksos bring?

my wrong answer: the Hyksos brought country music
the correct answer: Hyksos brought the wheel

What did the Phoenicians bring?

my wrong answer: Phoenicians brought sun tan lotion (because it's hot and sunny in Phoenix)
the correct answer: Phoenicians brought the alphabet


Physics: Kimo drops his ball from a building. After 3 seconds, how fast is it traveling? How far has the ball fallen?

my wrong answer:
After 3 seconds, it's traveling at 0 mph. Because when Kimo dropped the ball, it landed by his feet and stayed on the floor. It fell about 1 foot from his mouth to the floor. [Note: Kimo is a dog.]

another wrong answer:
i think the answer is 30 or 45 meters. or something like that. and the speed is 10 meters per second. Kimo and I will find the real answer next week when we get our test back.

the correct answer:
Let's assume Kimo actually dropped the ball off the end of the building and the ball didn't hit the ground right away...

Since the ball accelerates at 10 m per second per second (or 10 meters per second squared) due to the earth's gravity, then after 1 second the velocity of the ball is 10 m/s. After 2 seconds, the ball is traveling at 20 m/s. After 3 seconds, the ball is traveling at 30 m/s. So the answer is 30 meters per second.

As far as how far the ball travelled, you can figure it out this way. Since the ball started at 0 m/s and ended at 30 m/s, the average speed is 15 m/s. So if it travelled at an average speed of 15 m/s for 3 seconds, it should have travelled 45 meters.

The equation is actually d = 1/2 g t^2. So d = 1/2 (10) (3)^2 = 5*9 = 45m. [Ah it's slowly coming back to me.]

(Note: actually that 10 m/s^2 is more accurately 9.8 m/s^2 or 32 feet/s^2. It's rounded off to 10.)


Extra credit bonus question:

Algebra: Christie's birthday is in 18 weeks. She has no money now, but plans to start saving money immediately from her part time job because the car she wants to buy costs $2086. Each week she will set aside the same amount of money. Fortunately, her dad agreed to help her with part of the down payment. The car dealer has guaranteed her a 30 week payment plan which allows her to drive the car away on her birthday if she has paid $1582 by the time of her birthday. She will continue to pay the same set amount weekly for the remaining 12 weeks, at which time the car will be paid off. How much does Christie need from her father? How much must she start saving each week?


This was my solution:

There are 30 weeks of equal payments. Let's call each payment "p".
Let's call the downpayment "d".

After 18 weeks, the total paid is $1582.

So d + 18p = 1582.

After 30 weeks, the car is paid off for a total amount paid of $2086.

So d + 30p = 2086

So d = 1582 - 18p and d = 2086 - 30p

1582 - 18p = 2086 - 30p
12p = 504
p = 42

so d = 1582 - 18 (42) = 1582 - 756 = 826

So the downpayment (d) is $826 and the payment each month (p) is $42.

To check, plug into other equation

d = 2086 - 30p
826 = 2086 - 30 (42)
826 = 2086 - 1260
826 = 826


WC's solution was shorter:

$2086 - $1582 = $504 that Christie needs to pay off in the 12 weeks. That means she pays $504/12 = $42 / week.

If she pays $42 / week for the first 18 weeks => $42 x 18 = $756.

$1582 - $756 = $826 that she needs from her father for the down payment.

Saturday, October 30, 2004 12:34:00 PM

 

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