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?

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.

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.

is vertical change or rise.

is horizontal change or run.

Upon substituting given values in above formula we will get,

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

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.