The function that best describes the balloon's distance above sea level over time is a linear function. This is because the balloon rises at a constant rate, which means the change in distance over time is constant.

Here's how you can model it:

Let's denote:
- D as the distance above sea level
- t as the time in minutes since the balloon was launched

Since the balloon starts at a plateau 1,000 meters above sea level, the initial distance (D when t=0) is 1,000 meters. This is the y-intercept of the function.

The balloon rises at a constant rate of 750 meters per minute, so for every minute that passes, the distance above sea level increases by 750 meters. This is the slope of the function.

So, the function can be written as:

D = 750t + 1000

This function shows that the distance above sea level (D) depends on the time (t) and that it increases linearly over time.

Question

The function that best describes the balloon's distance above sea level over time is a linear function. This is because the balloon rises at a constant rate, which means the change in distance over time is constant.

Here's how you can model it:

Let's denote:
- D as the distance above sea level
- t as the time in minutes since the balloon was launched

Since the balloon starts at a plateau 1,000 meters above sea level, the initial distance (D when t=0) is 1,000 meters. This is the y-intercept of the function.

The balloon rises at a constant rate of 750 meters per minute, so for every minute that passes, the distance above sea level increases by 750 meters. This is the slope of the function.

So, the function can be written as:

D = 750t + 1000

This function shows that the distance above sea level (D) depends on the time (t) and that it increases linearly over time.

Knowee AI · Accepted Answer

The function that best describes the balloon's distance above sea level over time is a linear function. This is because the balloon rises at a constant rate, which means the change in distance over time is constant.

Here's how you can model it:

Let's denote:
- D as the distance above sea level
- t as the time in minutes since the balloon was launched

Since the balloon starts at a plateau 1,000 meters above sea level, the initial distance (D when t=0) is 1,000 meters. This is the y-intercept of the function.

The balloon rises at a constant rate of 750 meters per minute, so for every minute that passes, the distance above sea level increases by 750 meters. This is the slope of the function.

So, the function can be written as:

D = 750t + 1000

This function shows that the distance above sea level (D) depends on the time (t) and that it increases linearly over time.

After a hot air balloon is launched from a plateau 1,000 meters above sea level, it rises at a constant rate of 750 meters per minute. Which of the following best describes the function used to model the balloon’s distance above sea level over time?

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