Full question :
An airplane is flying at a steady elevation of $14,500 feet. The pilots of the airplane are informed they are approaching a storm, and they will need to ascend to an elevation of $33,000 feet to avoid flying through the storm. As soon as the pilots received the information about the storm, they immediately began to ascend at a constant rate. After $2 minutes, the airplane reached an elevation of $17,000 feet. Part A Write an equation that could represent the airplane's ascent to the elevation necessary to avoid flying through the storm. Use $t to represent the amount of time, in minutes, spent ascending. Respond in the space provided.
Answer:
Elevation = 2500t+14500
33000ft =2500t+14500
Explanation:
To model this equation, we take into account what we know and whatever don't. We know that the initial elevation of the plane is 14500 feet and in order for the pilot to fly the plane to the required elevation feet of 33000 feet, they have begun to ascend at 2500 feet every 2 minutes
Initial elevation feet = 14500
Ascended elevation after 2 minutes = 17000
Elevation for each 2 minutes therefore= 17000ft-14500ft= 2500ft
To model the equation, we represent minutes of elevation as t, hence
Total Elevation = 2500×t +14500
Total Elevation = 2500t+14500