Question

The science club is inflating a model of a hot air balloon. The graph below shows their progress. At what rate is the diameter increasing?

Answer 1

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:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where

$(x_1,y_1)$  is any point from the graph

and

$(x_2,y_2)$  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:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{50-0}{4-0}\\m=\frac{50}{4}\\m=12.5$

Thus, we can say:

The diameter of the hot air balloon is increasing at a rate of 12.5 centimeters per minute