Question

A little boy accidentally let go of his balloon, and it floated away. It was 2 meters above the ground when he let go, and it steadily rose 1 meter per second.
Write an equation that shows the relationship between the number of seconds since the boy let the balloon go, x, and its elevation in meters, y.
y=

Answers

GPT-4o mini
To express the relationship between the number of seconds since the boy let the balloon go (x) and its elevation in meters (y), you can start with the initial height of the balloon and then account for the rate of rise.

The balloon is initially 2 meters above the ground when it is released, and it rises at a rate of 1 meter per second. Therefore, the equation can be written as:

\[
y = 2 + 1x
\]

or more simply:

\[
y = 2 + x
\]

where \(y\) is the elevation in meters and \(x\) is the number of seconds since the balloon was let go.