Mathematics, 03.07.2019 17:50 YoVeoAnime

Aballoon is released on top of a building. the graph shows the height of the balloon over time. what does the slope and y-intercept reveal about the situation?

Aballoon is released on top of a building. the graph shows the height of the balloon over time. what

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Answer from: sportie59

C. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.

Step-by-step explanation:

We have been given a graph which represents the height of the balloon over time.

We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.

$\text{y-intercept}=(0.5\times 1000)\text{ feet}=500\text{ feet}$

Therefore, y-intercept represents that the balloon starts at a height of 500 feet.

Now let us find slope of our given line using slope formula.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

y_2-y_1 is vertical change or rise.

x_2-x_1 is horizontal change or run.

Upon substituting given values in above formula we will get,

$\text{Slope}=\frac{3.5-0.5}{20-0}$

$\text{Slope}=\frac{3}{20}$

$\text{Slope}=0.15$

Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.

$\text{Slope}=0.15\times 1000=150$

Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.

Upon looking at our given options we can see that option C is the correct choice.

Answer from: anna40794

The slope is (change in y)/(change in x). Taking (0, 0.5) and (10, 2) since the x axis is horizontal and the y axis vertical, we get the slope to be (2-0.5)/(10-0)=
1.5/10=3/20=0.15. Since it's based off of 1000 feet, we multiply 0.15 by 1000 to get 150 as the rate of change for every x value. In addition, since we start at 0.5, 1000*0.5=500 and we therefore start at 500 ft. Using the information we have, we therefore have C as our answer

Answer from: Quest

As you know john locke said he wanted life liberty and the pursuit of happiness so thomas jefferson was inspired about what john locke said so thomas jefferson wrote the declaration of independence for people to be free for people to be happy

Answer from: Quest

it has changed from the width and the height.

step-by-step explanation:

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Aballoon is released on top of a building. the graph shows the height of the balloon over time. what...