A helicopter is planning a route in a straight line from the top of Mount Whitney to Death Valley. (These two locations are in California and are the highest and lowest points respectively in the continental United States. They are only about 85 miles apart.) The helicopter will start at the top of Mount Whitney at an elevation of 14,505 feet and fly to the Badwater Basin (282 feet BELOW sea level). During its flight, the helicopter descends at a rate of 493 feet per minute, and the trip will take about 30 minutes.

Write an equation that relates the helicopter's elevation (E) to the travel time (t).

Question 3 options:

E=−493t+14787

t=14505−493E

E=14505−493t

E=282+14505t

Respuesta :

The linear function that relates the helicopter's elevation (E) to the travel time (t) is:

  • E = −493t+14787

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The helicopter descends at a rate of 493 feet per minute, hence [tex]m = -493[/tex].
  • It flies from an elevation of 14,505 feet to an elevation of 282 feet BELOW sea level, hence the distance it travels in feet is [tex]b = 14505 + 282 = 14787[/tex]

Hence, the model is:

  • E=−493t+14787

You can learn more about linear functions at https://brainly.com/question/13967935

Answer:

E=−493t+14787

Step-by-step explanation:

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