a little boy accidentally let go of his balloon, and it floated away. it was 2 meters above the ground when…

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 =

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 =

Answer

Explanation:

Step1: Identify the linear - equation form

The general form of a linear equation is (y = mx + b), where (m) is the slope (rate of change) and (b) is the (y) - intercept (initial value).

Step2: Determine the values of (m) and (b)

The balloon rises at a rate of (1) meter per second, so (m = 1). When (x = 0) (the moment the boy let go), (y=2) meters, so (b = 2).

Step3: Substitute (m) and (b) into the linear - equation form

Substituting (m = 1) and (b = 2) into (y=mx + b), we get (y=x + 2).

Answer:

(y=x + 2)