Question

The graph shows how the height of a balloon is changing over time.

BALLOON HEIGHT
Height
Time
Which quantity is given by the slope of the line on the graph?
A
the time the balloon stays in the air
B
the rate at which the balloon is rising
С
the final height of the balloon
D
the starting height of the balloon

Answer 1

B. The rate at which the balloon is rising.

Explanation:

Mathematically speaking, the slope of the line represents the change in dependent variable (Height) divided by the change in independent variable (Time). According to the graph, a postive change in time leads to a positive change in height, meaning that slope is positive. Physically speaking, the slope represents the rate of change at which the height of the ballon is rising.

Hence, correct answer is B.