# Math

posted by .

I am having ahard time solving this problem and am not good with story problems, could someone please help. Can you show how you would write out problem.

The average price of an acre of U.S farmland was \$1132 in 2001. In 2006, the price of an arce rose to approximately \$1657.

a. Write two order pairs of the form (year, price of acre)

b. find the slope of the line through the two points

Explain the meaning of the slope as a rate change.

• Math -

In 2001, aver. price of an acre = \$1132
In 2006, aver. price of an acre = \$1657

a. 2001 = 0, 1132; 2006 = 5, 1657
2001 would be the starting year and 2006 would be 5 years later
The ordered pairs would be,
(0,1132), (5,1657)

b. slope
m = y2 - y1/(x2 - x1)
m = 1657 - 1132/(5 - 0)
m = 525/5
m = 105

The equation of the line with
slope m = 105, and point (5,1657)
y = mx + b
y = 105x + b
1657 = 105(5) + b
1657 = 525 + b
b = 1132

Therefore, the equation is
y = 105x + 1132

Explain the meaning of the slope as a rate change.

See this website for an excellent explanation.

http://www.purplemath.com/modules/slopyint.htm

## Similar Questions

1. ### algebra

I am having a hard time solving my problem 2ã20 + 5 ã 80 - 7 ã5 Can someone please help me
2. ### algebra

I am having a hard time solving my problem 2ã20 + 5 ã 80 - 7 ã5 Can someone please help me

Good evening ~ I have 2 questions. Kelsey was assigned math homework. He was given 8 word problems to solve. He estimated that it would take him 5 mins. to solve each problem (THAT WOULD TAKE 40 MINS. FOR KELSEY TO COMPLETE HIS MATH …
4. ### College Math II

Show a complete solution to each problem. Find the exact length of the side of a square whose diagonal is 3 feet. I am having problems understanding how you figure out this problem. Can someone help me?
5. ### algebra 1

Can someone please help me with this inequality problem -3-8>(4x+8)-8 I have no idea how to solve this problem but I would like to learn. Can you be kind to show me the steps so that I can use this as an example problem for other …
6. ### Math problem

having problems working this problem out please solve 49 5/2
7. ### Math

Write a story for the following multiplication problem : 16x5 Derrick gets \$5 for every hour he works at the store. He works for 16 hours each day. How much money does he get everyday?
8. ### algebra

Abby spent 5 1/2 minutes solving 5 math problems on her homework. How much time did she spend on each problem, on average?
9. ### Math: is it? is it not?

Is this math problem hard? - There are 12 brothers living in a mansion. Six brothers are sitting in a rectangular kind of table. Six other brothers stood around them. They all have ten huge backpacks. Each backpack has 8 large monkeys.
10. ### Math

Can someone please work out the steps in solving this elimination problem. Thank you. The problem is x + 2y = -7 x - 5y = 7

More Similar Questions