# Math

This is the (average) sale price for single family property in Seattle and Port Townsend
Year Seattle Port Townsend
1970 \$38000 \$8400
1990 \$175000 \$168400
(a) When will the average sales price in seattle and port t. be equal and what is this price?
(b)When will the average sales price in port t. be \$15000 less than seattle sales price? What are the two sales prices at this time?

I need help setting up the equations for these two questions.
i found the linear model relating to this question
seattle is :
y=6850(x-1970)+38000
port t:
y=7980(x-1970)+8400

1. 👍
2. 👎
3. 👁
1. The linear equations are:

seattle: y=6580(x-1970)+38000

port t: y=8000(x-1970)+8400 <---you made an arithmetic error in calculating the slope for this one

1. To find when they will be equal just set the to equations equal to each other:

6580(x-1970)+38000=8000(x-1970)+8400
6580x-12962600+3800=8000x-15760000+8400
2792800=1420x
x=1966.76

1966

2. Here you just take the port t equation, add 15000, and set that equal to the seattle equation

so
8000(x-1970)+8400+15000=6580(x-1970)+38000
do the algebra and you get: 1980.28
so 1980

the second part ask for the two sales prices during this time, so just plug our answer, 1980, back into the equations:

seattle: y=6580([1980.28-1970)+38000, y= \$105,642.4
port t: y=y=8000(1980.28-1970)+8400, y= \$90640
we can then check our answer by doing 105,642-90640=15002 which confirms that seattle at this time is 15000 more than port t. (the number is a tiny bit off because 1980.28 is rounded)

1. 👍
2. 👎
2. Thanks for helping. What you explained to me makes sense. But i checked the back of the book and it said for (a) they will be equal in 1995 at \$214,313.
so is (b) it said its 1982.70 Sea=\$124,965. weird...
I going to try these problems out! and see what answers I get! thanks again.

1. 👍
2. 👎

## Similar Questions

1. ### Business Math

You are the manager of World Wide Athlete, a chain of six sporting goods shops in your area. The shops sell 12 racing bikes per week at a retail price of \$679.99. Recently, you put the bikes on sale at \$599.99. At the sale price,

2. ### Arithmetic

During a sale, CD'S that normally cost \$6.98 each were priced at 2 for \$12.50.Pete bought 4 CD'S at the sale price. How much money did he save by buying the 4 CDS on sale?

3. ### URGENTquestions for Math

A pair of jeans is on sale for 25% off the original price. Which expression represents the sale price? If the original price of the jeans is \$40,evaluate the expression to find the sale price. s=p-0.25 p;\$30 s=p-25:\$15***

4. ### Math

The manager of the ice cream shop noticed that 90% of all club members brought along a family member who spent an average of \$18 in the shop. The tax on their bill was 5.5%.What was the total amount spent by the family members in

1. ### Math

Al and Bob, who live in North Vancouver, are Seattle Mariners fans. They regularly drive the 264km from their home to the ballpark in Seattle. On one particular day, Bob drove to the game. On the return journey, Al was able to

2. ### math

A store manager buy shirts at a wholesale price of \$12 and marks them up 60%. After two months, the shirts are sold on sale for 30% off the retail price. 1. What was the original retail price of the shirts? 2. What is the sale

3. ### Capital Investment and Financing Decisions.

1)Find the present value of Rs. 2,000 due in 6 years if money is worth compounded semi-annually. (b) Ascertain the present value of an amount of Rs. 8,000 deposited now in a commercial bank for a period of 6 years at 12% rate of

4. ### macroeconomics

25. The following table shows the price of a specific stereo receiver for a five-year period. Using Year 1 as the base year, calculate the price index for each year. Year Price Price index (answers using Year 1 = 100) 1 \$112 ___ 2

1. ### Algebra

A private plane traveled from Seattle to a rugged​ wilderness, at an average speed of 420 mph. On the return​ trip, the average speed was 300mph. If the total traveling time was 6 ​hours, how far is Seattle from the​

2. ### VNS,Math

Mr. Bobby bought 50 shares at \$60, and 2 months later purchased 25 shares a \$56.at what price should he purchase 25 additional shares in order to have an average price \$58 per share? The average age of a family of 6 members is 25

3. ### prealgebra

An entertainment center is on sale for 20% off original price. The original price is \$225. What is the sale price? How do you solve and show work for this problem above????

4. ### algebra

A private plane traveled from Seattle to the rugged wilderness at a average speed of 176 mph. on the return trip the average speed was 308 mph. if the total traveling time was 5 hours. How far is Seattle to the wilderness? please