Question

Three hot air balloons are rising at constant rates for each the distance risen depends on time what is the rate of each balloon's rise

Answer 1

Step-by-step explanation

The rate of each balloon's rise is given as

`\text{Rate of balloon's rise = }\frac{Change\text{ in distance}}{Corresponding\text{ change in time}}`

For Balloon A

A graph is provided, so, the rate would be the slope of this straight line graph.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

For this one, we can pick two points on the graph

(x₁, y₁) and (x₂, y₂) are (4, 2400) and (2, 1200)