An airplane is flying at an altitude of 4000 feet and descends at a rate of 200 feet per min. Determine whether the altitude is proportional to the # of min.

I need help

To determine whether the altitude is proportional to the number of minutes, we can create a proportion based on the given information.

Let's assume the number of minutes is represented by "x".

Initially, the altitude is 4000 feet, and it is decreasing at a rate of 200 feet per minute. So we can subtract 200x from 4000 to represent the decreasing altitude.

Altitude = 4000 - 200x

Now, we can set up a proportion by comparing the altitude to the number of minutes:

4000 feet / x minutes = (4000 - 200x) feet / x minutes

To determine if these ratios are equal, we can cross-multiply:

4000 * x = (4000 - 200x) * x

Expanding the right side:

4000x = 4000x - 200x^2

Simplifying:

200x^2 = 0

Since the coefficient of x^2 on the left side is 200 and the result is zero, it means that x^2 must be equal to zero. However, since x^2 cannot be zero (because x multiplied by itself will always be positive), this equation has no solutions.

Therefore, we can conclude that the altitude is not proportional to the number of minutes.

No

proportional means y = m x

linear means y = m x + b

because of the 4000 feet, this is of form
y = -200 x + 4000

which is linear but not proportional

4,000 200

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