Explain how you can determine the initial value of a linear relationship, the y- intercept, when given two points.

1 answer:

7 0

There is a formula to find the slope (m)

(y2 - y1) / (x2 - x1)

So we now have y = mx + b where m is the value you just calculated

The y intercept (b) = y - mx

Plug in the x,y values for one of your points into this formula

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if the population of a state is 1,821,000 and is decreasing by 0.2% every year. what will the population be in 5 years? round to

snow_tiger [21]

Hello there :))
Your answer would be 1802790 people and round that... (u round)
1. take 1821000 and multiply that by .2% that will give you 3642
2. 5 years would be 5 times 3642, to find how many people being decreased. that will give you 18210
3. take your beginning total 1821000 and subtract it by 18210, and you get 1802790 people.
4. DONT FORGET TO ROUND IT. (I'm not rounding)

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3 years ago

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Flura [38]

Answer:

See below and attached picture

Step-by-step explanation:

a. To graph the equation set y = 0 and solve for t.

y = -16t² + 100

0 = -16t² + 100

100 = -16t²

6.25 = t²

+/- 2.5 = t

Mark the points (-2.5,0) and (2.5,0). Then mark the highest point at (0,100). Draw a curve or parabola to connect the points.

b. Domain is the set of t values. This is the time it's in the air. The graph shows it at height 100 at t = 0 and at height 0 at t = 2.5. The domain is [0, 2.5].

Range is the set of y values. This is the height of the object. The graph shows it at height 100 at the beginning and then falls to height 0. The range is [0,100].

c. The graph has the point (1,84). This means it was at height 84 feet at 1 second.

d. The graph has a point about (1.75, 50). This means at about 50 feet it was 1.75 seconds.

e. The shingle is at height 0 feet at 2.5 seconds when it crosses the x-axis.