Answer:
12.5 centimeters per minute
Step-by-step explanation:
From the graph, the rate at which the diameter increasing would be inthe units of cm/min
The rate is basically the slope of the line. The slope (m) has formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where
[tex](x_1,y_1)[/tex] is any point from the graph
and
[tex](x_2,y_2)[/tex] is another point from the graph
Let's take the origin (0,0) as the first point and (4,50) as the second point. Now lets calculate the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{50-0}{4-0}\\m=\frac{50}{4}\\m=12.5[/tex]
Thus, we can say:
The diameter of the hot air balloon is increasing at a rate of 12.5 centimeters per minute
