21.
(05.07 MC)

The function for the speed of a plane that is landing from the sky is given by v(t) = 352 − 48t, where v is the velocity (in miles per hour) and t is the number of hours after the plane begins to descend.

What is the slope? What does it represent? (1 point)

352; velocity increases at rate of 352 miles per hour as the time increases

−352; velocity decreases at rate of 352 miles per hour as the time increases

48; velocity increases at rate of 48 miles per hour as the time increases

−48; velocity decreases at rate of 48 miles per hour as the time increases

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a function:

v(t) = 352 − 48t

The above function represents the speed of a plane that is landing in the sky.

The function is a linear function.

On comparing with:

y = mx + c

v(t) = -48t + 352

m = -48

-48 is the slope and it representing velocity decreases at rate of 48 miles per hour as the time increases.

Thus, option fourth "−48; velocity decreases at rate of 48 miles per hour as the time increases" is correct.

Learn more about the slope here:

brainly.com/question/3605446

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