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nikklg [1K]
3 years ago
9

the population of jamestown is decreasing by 250 people per year. if the population is 25,000 today, what will it be in two year

s
Mathematics
1 answer:
marta [7]3 years ago
3 0
26265 population ( even though calculation results in a fraction higher than 0.5 over this number, since the number represents people, you can not round it up to a whole person).

Solution: Treat this like a simple example of a compounded interest, where , like the interest earned on first year earns extra interest on it for next year; the increase in population at the end of a year, contributes to the growth rate, thus 2.5% compounded poverty two years, for 25,000/- people, results in 26,265.
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I'll show you two methods.

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Now we use the slope formula.

slope = m = (y2 - y1)/(x2 - x1)

Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.

Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.

Plug in values into the formula:

m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4

The slope is -1/4

2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.

Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4

As you can see we got the same slope using both methods.
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Step-by-step explanation:

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