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

Answer

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

$Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}$

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

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

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