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 1

Answer:

Equation of the line

Step-by-step explanation:

We need to construct an equation of the line that allows us to identify the given points and obtain a function in this regard.

These are the data we have

Y1 = 14500ft

Yf = 33000ft

Where the variables Y, represent the altitude.

We know that after 2 minutes the body has reached an altitude of

Y2 = 17000

On the other hand, the variable t represents time, so:

t0 = 0 min (the exact moment at which it is informed by the storm control tower)

t1 = 2 min.

The slope equation reads as follows:

(Y2-Y1) = m (t1-t0)

We replace

(17000-14500) = m (2-0)

m = 1250

That is to say that the equation of the line would be:

t = 1250 * x + t1

t = 1250 * x + 14500

If we wanted to know how long (t), it takes 3300ft to ascend, we simply replace it like this

33000 = 1250t + 14500

33000-14500 = 1250t

t = (33000-14500) / 1250

t = 14.8 minutes.