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Which is a correct interpretation of the slope of the line in this graph?
A) the volume of water in the tank is decreasing by 2.5L per hour
B) the volume of water in the tank is decreasing by 2L per hour
C) the volume of water in the tank is decreasing by 0.4L per hour
D) the volume of water in the tank is decreasing by 0.2L per hour

Which is a correct interpretation of the slope of the line in this graph A the volume of water in the tank is decreasing by 25L per hour B the volume of water i class=

Respuesta :

calculista

Answer:

Option C. the volume of water in the tank is decreasing by 0.4L per hour

Step-by-step explanation:

step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(2,8)\ B(7,6)[/tex]

Substitute the values

[tex]m=\frac{6-8}{7-2}[/tex]

[tex]m=\frac{-2}{5}=-0.40\frac{liters}{hour}[/tex]

The slope is negative

so

is decreasing

That means------> the volume of water in the tank is decreasing by 0.4L per hour

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