The table shows the height y (in thousands of feet) of an unmanned aerial vehicle (UAV) x minutes after it begins its descent from cruising altitude.

Write a linear function that relates y to x . Interpret the slope and y-intercept. y = ___

The slope indicates that the height ___ feet per minute. The y-intercept indicates that the descent ____ at a cruising altitude of ___ feet.

The table shows the height y in thousands of feet of an unmanned aerial vehicle UAV x minutes after it begins its descent from cruising altitude Write a linear class=
The table shows the height y in thousands of feet of an unmanned aerial vehicle UAV x minutes after it begins its descent from cruising altitude Write a linear class=

Respuesta :

1)

[tex]m = \frac{y - y}{x - x} = \frac{55 - 59}{10 - 0} = \frac{ - 4}{10} = - \frac{2}{5} [/tex]

[tex]y = - \frac{2}{5} x + b[/tex]

Since the line passes through the point (0,59), the coordinates of this point satisfies the equation of y;

[tex]59 = - \frac{2}{5} (0) + b[/tex]

[tex]b = 59[/tex]

Final answer:

[tex]y = - \frac{2}{5} x + 59[/tex]