Tuesday, October 19, 2010

Alrighty! A long weekend ahead and a PAWS trip tomorrow! Whoo hoo!!

Here are your daily summaries:

3rd, 5th, 7th:

Today we played a game in class to review the first part of Chapter 3. We will have a review sheet to complete next Monday and the Quiz will be Tuesday.

4th:

We went over using multiplication and division properties to solve equations. For homework make sure you finish Pg. 194 #12-26 to be turned in during homeroom tomorrow!!

8th

Ok guys so after looking at the problem we talked about in class today I have to apologize for my brain fart and say that I am quite aggrevated with myself. I guess it happens to the best of us but here is the problem solved along with an explanation of why it is solved this way.

29a) Because they are asking you to write an equation that relates the age of the car to the value of the car that is LOST, you have a positive slope. If you remember in class we kept thinking that it would have a negative slope becase as the car gets older it is worth less money which is true, however they are not asking for the relationship between age of the car and the value of the car, they are asking for the relationship between the age of the car and how much the car has went down in value. So that being understood it is easy to come up with an equation. The difference in y-values is 1800 times the difference in x-values (because every year the car loses $1800 in value) so you formula is y = 1800x. The book was correct..darn huh?

29b) Now we can use that formula to solve for the age of the car when the value is $300. Remember that y is NOT the value of the car. It is the amount of money that the car has LOST in value. In order to find that we have to know the original cost of the car. We know that the car loses $1800 in value every year. We also know that after 1 year the car is worth $12,000. You need to add $1,800 to $12,000 and that gives the original value of the car ($13,800). We then find how much the car has LOST in value. To find this you take the original price (13,800) and subtract the current price (300) which gives you $13,500 LOST. This is what you substitute in for y in the formula and solve as I have below!

13,500 = 1800x

7.5 = x (divide both sides by 1800)

so when the car is valued at $300 it will be 7 years 6 month old. Phew, good thing I didn't give you any like this for homework tonight eh?

Make sure you complete Pg. 203 #32-37! Have a great evening!

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