First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

$m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}$ That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:

$y-22200=-750(x-0)$ and

y = -750x + 22200. That answers part A.

Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):

y = -750(13) + 22200 so

y = 12450 people in the year 2014

6 0

2 years ago

Sarabeth ran 1 2/5 miles on a path around the park. This was 5/8 of the distance around the park. What is the distance around th

Serga [27]

I would change the 1 2/5 miles to a whole fraction which would be 7/5 miles then invert the 5/8 th to 8/5 then multiply the fractions. I.E. 7/5 x 8/5 which will give 56/25. Divide 25 into 56 and you get 2 6/25 miles or convert to a decimal and would be 2.24 miles.

7 0

2 years ago

. Y = -X²-2x+3 x=y=1

yarga [219]

Answer: y = 1/2 x + 3

hope this helped!! :)

4 0

3 years ago

Mrs. Potts is putting a fence around her rectangular garden the length of the garden is 8 yards the width of the garden is 4 yar

Varvara68 [4.7K]

Answer:

Mrs. Potts needs 72 feet of fencing.

Step-by-step explanation:

You find the perimeter of the rectangular garden, which is 24 yards. You then convert the yards to feet. There are 3 feet in a yard. You multiply 24 by 3 to get your final answer of 72 feet.

6 0

2 years ago