A balloon filled with helium is released from a height of 6 feet. The balloon rises at a constant rate of 3 feet per second. Which equation represents the height of the balloon (y), x seconds after it was released.


y = 3x + 6
y = 6x + 3
x = 3y + 6
x = 6y + 3 <--?

Using your equation from question #3, what is the height, in feet, of the balloon after 10 seconds?

36 inches
36 feet
63 feet<--?
63 inches

you've got x and y switched

... and the rate of ascent is the slope

the right equation will give the right answer

Thank you.

The correct equation that represents the height of the balloon (y) x seconds after it was released is y = 3x + 6.

To find the height of the balloon after 10 seconds using this equation, you substitute x = 10 into the equation:

y = 3(10) + 6
y = 30 + 6
y = 36

Therefore, the height of the balloon after 10 seconds is 36 feet.

To find the equation that represents the height of the balloon, we need to analyze the given information.

We know that the balloon is released from a height of 6 feet and rises at a constant rate of 3 feet per second. This means that after x seconds, the balloon will have risen by 3x feet.

Additionally, the initial height of the balloon, when x is 0 (at the time of release), is 6 feet. Therefore, we can express the equation as y = 3x + 6.

Now, to find the height of the balloon after 10 seconds, we substitute x = 10 into the equation:

y = 3x + 6
y = 3(10) + 6
y = 30 + 6
y = 36 feet

Thus, the correct answer is 36 feet.