Donna is running. The number of calories she has burned varies directly with the number of minutes she has run. See the graph below

What is the slope of the graph?

How many minutes does donna run per calories burned?

Donna is running The number of calories she has burned varies directly with the number of minutes she has run See the graph below What is the slope of the graph class=

Respuesta :

Answer:

Slope is 10

5 calories per minute

The slope of a graph is the rate of change of the graph.

  • The slope of the graph is 10
  • 1 calories is burned in every 0.1 minute.

From the graph, we have the following points.

[tex]\mathbf{(x,y) = (0,0)(10,100)}[/tex]

The slope (m) is calculated as follows:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{100 - 0}{10-0}}[/tex]

[tex]\mathbf{m = \frac{100}{10}}[/tex]

[tex]\mathbf{m = 10}[/tex]

Hence, the slope of the graph is 10

The number of minutes per calories burned is the inverse of the slope.

[tex]\mathbf{Minutes = \frac{1}{10}}[/tex]

[tex]\mathbf{Minutes = 0.1}[/tex]

Hence, 1 calories is burned in every 0.1 minute.

Read more about slopes and rates at:

https://brainly.com/question/18576224